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10121003132212 = 22723412291673857
BaseRepresentation
bin1001001101000111101011…
…0010111110010100110100
31022211120002002222021000201
42103101322302332110310
52311310303300212322
633305305154050244
72063134615114360
oct223217262762464
938746062867021
1010121003132212
113252325461225
121175627579984
1358553910863b
1426dc0579a2a0
1512840cee7d27
hex9347acbe534

10121003132212 has 96 divisors (see below), whose sum is σ = 21731765368320. Its totient is φ = 4030109614080.

The previous prime is 10121003132137. The next prime is 10121003132311. The reversal of 10121003132212 is 21223130012101.

It is a super-2 number, since 2×101210031322122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121003132212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5209588 + ... + 6883444.

It is an arithmetic number, because the mean of its divisors is an integer number (226372555920).

Almost surely, 210121003132212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121003132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10865882684160).

10121003132212 is an abundant number, since it is smaller than the sum of its proper divisors (11610762236108).

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

10121003132212 is a wasteful number, since it uses less digits than its factorization.

10121003132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674161 (or 1674159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10121003132212 its reverse (21223130012101), we get a palindrome (31344133144313).

The spelling of 10121003132212 in words is "ten trillion, one hundred twenty-one billion, three million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 229 287 322 458 574 644 916 943 1148 1603 1886 3206 3772 5267 6412 6601 9389 10534 13202 18778 21068 26404 36869 37556 65723 73738 131446 147476 215947 262892 431894 863788 1511629 1673857 3023258 3347714 6046516 6695428 11716999 23433998 38498711 46867996 68628137 76997422 137256274 153994844 269490977 274512548 383313253 480396959 538981954 766626506 960793918 1077963908 1533253012 1578447151 1921587836 2683192771 3156894302 5366385542 6313788604 8816204819 10732771084 11049130057 15715843373 17632409638 22098260114 31431686746 35264819276 44196520228 61713433733 62863373492 110010903611 123426867466 220021807222 246853734932 361464397579 440043614444 722928795158 1445857590316 2530250783053 5060501566106 10121003132212