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10231434122 = 274131731311
BaseRepresentation
bin10011000011101011…
…10100101110001010
3222102001020201001112
421201311310232022
5131423221342442
64411131050322
7511354520000
oct114165645612
928361221045
1010231434122
114380417988
121b965a09a2
13c7092c440
146d0ba8a70
153ed376082
hex261d74b8a

10231434122 has 160 divisors (see below), whose sum is σ = 21141679104. Its totient is φ = 3674764800.

The previous prime is 10231434097. The next prime is 10231434151. The reversal of 10231434122 is 22143413201.

10231434122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32898347 + ... + 32898657.

Almost surely, 210231434122 is an apocalyptic number.

10231434122 is an abundant number, since it is smaller than the sum of its proper divisors (10910244982).

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

10231434122 is a wasteful number, since it uses less digits than its factorization.

10231434122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10231434122 its reverse (22143413201), we get a palindrome (32374847323).

It can be divided in two parts, 10 and 231434122, that added together give a palindrome (231434132).

The spelling of 10231434122 in words is "ten billion, two hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 17 26 31 34 49 62 91 98 119 182 217 221 238 311 343 403 434 442 527 622 637 686 806 833 1054 1274 1519 1547 1666 2177 2401 2821 3038 3094 3689 4043 4354 4459 4802 5287 5642 5831 6851 7378 8086 8918 9641 10574 10633 10829 11662 13702 15239 19282 19747 21266 21658 25823 28301 30478 31213 37009 39494 40817 47957 51646 56602 62426 67487 68731 74018 74431 75803 81634 95914 106673 125333 134974 137462 138229 148862 151606 163897 180761 198107 213346 250666 259063 276458 327794 335699 361522 396214 472409 481117 518126 530621 671398 746711 877331 944818 962234 967603 1061242 1147279 1265327 1386749 1493422 1754662 1813441 1935206 2130661 2294558 2349893 2530654 2773498 3306863 3367819 3626882 4261322 4699786 6141317 6613726 6735638 8030953 9707243 12282634 12694087 14914627 16061906 16449251 19414486 23148041 23574733 25388174 29829254 32898502 42989219 46296082 47149466 56216671 85978438 104402389 112433342 165023131 208804778 300924533 330046262 393516697 601849066 730816723 787033394 1461633446 5115717061 10231434122