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10232012200212 = 223211376329110339
BaseRepresentation
bin1001010011100101001101…
…1100111101100100010100
31100020011121112010012110200
42110321103130331210110
52320120130110401322
633432304351420500
72104144541454135
oct224712334754424
940204545105420
1010232012200212
113295410159030
121193048224730
13592b4a698caa
142753369abc8c
1512b2589b38ac
hex94e5373d914

10232012200212 has 144 divisors (see below), whose sum is σ = 28982972491200. Its totient is φ = 3016305492480.

The previous prime is 10232012200169. The next prime is 10232012200219. The reversal of 10232012200212 is 21200221023201.

10232012200212 is a `hidden beast` number, since 1 + 0 + 232 + 0 + 1 + 220 + 0 + 212 = 666.

10232012200212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232012200219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92677339 + ... + 92787677.

It is an arithmetic number, because the mean of its divisors is an integer number (201270642300).

Almost surely, 210232012200212 is an apocalyptic number.

10232012200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232012200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491486245600).

10232012200212 is an abundant number, since it is smaller than the sum of its proper divisors (18750960290988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10232012200212 is a wasteful number, since it uses less digits than its factorization.

10232012200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116726 (or 116721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10232012200212 its reverse (21200221023201), we get a palindrome (31432233223413).

The spelling of 10232012200212 in words is "ten trillion, two hundred thirty-two billion, twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 6329 7326 12658 14652 18987 25316 37974 56961 69619 75948 110339 113922 139238 208857 220678 227844 234173 278476 331017 417714 441356 468346 626571 662034 702519 835428 936692 993051 1213729 1253142 1324068 1405038 1986102 2107557 2427458 2506284 2575903 2810076 3641187 3972204 4082543 4215114 4854916 5151806 7282374 7727709 8165086 8430228 10303612 10923561 12247629 14564748 15455418 16330172 21847122 23183127 24495258 30910836 36742887 43694244 44907973 46366254 48990516 73485774 89815946 92732508 134723919 146971548 179631892 269447838 404171757 538895676 698335531 808343514 1396671062 1616687028 2095006593 2793342124 4190013186 6285019779 7681690841 8380026372 12570039558 15363381682 23045072523 25140079116 25838414647 30726763364 46090145046 51676829294 69135217569 77515243941 92180290092 103353658588 138270435138 155030487882 232545731823 276540870276 284222561117 310060975764 465091463646 568445122234 852667683351 930182927292 1136890244468 1705335366702 2558003050053 3410670733404 5116006100106 10232012200212