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10120200000222 = 231331772762119
BaseRepresentation
bin1001001101000100101011…
…1011010001001011011110
31022211111000010201221001110
42103101022323101023132
52311302132200001342
633305053344122450
72063105663444604
oct223211273211336
938744003657043
1010120200000222
113251a53081284
121175442606426
1358543b8ca000
1426db6ac57874
151283b2752c9c
hex9344aed12de

10120200000222 has 128 divisors (see below), whose sum is σ = 23248424908800. Its totient is φ = 2926658262528.

The previous prime is 10120200000193. The next prime is 10120200000223. The reversal of 10120200000222 is 22200000202101.

10120200000222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120200000198 and 10120200000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120200000223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162885279 + ... + 162947397.

It is an arithmetic number, because the mean of its divisors is an integer number (181628319600).

Almost surely, 210120200000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120200000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624212454400).

10120200000222 is an abundant number, since it is smaller than the sum of its proper divisors (13128224908578).

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

10120200000222 is a wasteful number, since it uses less digits than its factorization.

10120200000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62907 (or 62881 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120200000222 its reverse (22200000202101), we get a palindrome (32320200202323).

The spelling of 10120200000222 in words is "ten trillion, one hundred twenty billion, two hundred million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 727 1014 1326 1454 2181 2197 2873 4362 4394 5746 6591 8619 9451 12359 13182 17238 18902 24718 28353 37077 37349 56706 62119 74154 74698 112047 122863 124238 160667 186357 224094 245726 321334 368589 372714 482001 737178 807547 964002 1056023 1597219 1615094 2088671 2112046 2422641 3168069 3194438 4177342 4791657 4845282 6266013 6336138 9583314 10498111 12532026 13728299 20996222 27152723 27456598 31494333 41184897 45160513 54305446 62988666 81458169 82369794 90321026 135481539 136475443 162916338 178467887 270963078 272950886 356935774 409426329 535403661 587086669 767728721 818852658 1070807322 1174173338 1535457442 1761260007 2303186163 2320082531 3522520014 4606372326 4640165062 6960247593 7632126697 9980473373 13920495186 15264253394 19960946746 22896380091 29941420119 45792760182 59882840238 99217647061 129746153849 198435294122 259492307698 297652941183 389238461547 595305882366 778476923094 1686700000037 3373400000074 5060100000111 10120200000222