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31012311132 = 223311217139597
BaseRepresentation
bin11100111000011110…
…100101000001011100
32222001022010122012000
4130320132211001130
51002003122424012
622125153242300
72145341203155
oct347036450134
988038118160
1031012311132
1112174706400
126015b63390
132c03022a7a
141702a7c92c
15c1793cddc
hex7387a505c

31012311132 has 144 divisors (see below), whose sum is σ = 93575331360. Its totient is φ = 8844802560.

The previous prime is 31012311107. The next prime is 31012311133. The reversal of 31012311132 is 23111321013.

31012311132 is a `hidden beast` number, since 310 + 12 + 311 + 1 + 32 = 666.

It is a super-2 number, since 2×310123111322 (a number of 22 digits) contains 22 as substring.

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 (31012311133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 152358 + ... + 291954.

It is an arithmetic number, because the mean of its divisors is an integer number (649828690).

Almost surely, 231012311132 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 31012311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46787665680).

31012311132 is an abundant number, since it is smaller than the sum of its proper divisors (62563020228).

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

31012311132 is a wasteful number, since it uses less digits than its factorization.

31012311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139649 (or 139630 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31012311132 its reverse (23111321013), we get a palindrome (54123632145).

The spelling of 31012311132 in words is "thirty-one billion, twelve million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 121 132 153 187 198 204 242 297 306 363 374 396 459 484 561 594 612 726 748 918 1089 1122 1188 1452 1683 1836 2057 2178 2244 3267 3366 4114 4356 5049 6171 6534 6732 8228 10098 12342 13068 18513 20196 24684 37026 55539 74052 111078 139597 222156 279194 418791 558388 837582 1256373 1535567 1675164 2373149 2512746 3071134 3769119 4606701 4746298 5025492 6142268 7119447 7538238 9213402 9492596 13820103 14238894 15076476 16891237 18426804 21358341 26104639 27640206 28477788 33782474 41460309 42716682 50673711 52209278 55280412 64075023 67564948 78313917 82920618 85433364 101347422 104418556 128150046 152021133 156627834 165841236 202694844 234941751 256300092 287151029 304042266 313255668 456063399 469883502 574302058 608084532 704825253 861453087 912126798 939767004 1148604116 1409650506 1722906174 1824253596 2584359261 2819301012 3445812348 5168718522 7753077783 10337437044 15506155566 31012311132