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3112132023 = 3471113131293
BaseRepresentation
bin1011100101111111…
…0101110110110111
322000220000200120000
42321133311312313
522333201211043
61232451442343
7140056454130
oct27137656667
98026020500
103112132023
111357798940
1272a2b63b3
133a79b5150
14217474c87
151333432d3
hexb97f5db7

3112132023 has 160 divisors (see below), whose sum is σ = 6311112192. Its totient is φ = 1475884800.

The previous prime is 3112131989. The next prime is 3112132033. The reversal of 3112132023 is 3202312113.

It is not a de Polignac number, because 3112132023 - 29 = 3112131511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3112131987 and 3112132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112132033) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 10621465 + ... + 10621757.

Almost surely, 23112132023 is an apocalyptic number.

3112132023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3112132023 is an abundant number, since it is smaller than the sum of its proper divisors (3198980169).

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

3112132023 is a wasteful number, since it uses less digits than its factorization.

3112132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3112132023 is about 55786.4860248430. The cubic root of 3112132023 is about 1459.9993780882. Note that the first 3 decimals are identical.

Adding to 3112132023 its reverse (3202312113), we get a palindrome (6314444136).

It can be divided in two parts, 311213 and 2023, that added together give a triangular number (313236 = T791).

The spelling of 3112132023 in words is "three billion, one hundred twelve million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 131 143 189 231 273 293 297 351 393 429 567 693 819 879 891 917 1001 1053 1179 1287 1441 1703 2051 2079 2457 2637 2751 3003 3223 3537 3809 3861 4323 5109 6153 6237 7371 7911 8253 9009 9669 10087 10611 11427 11583 11921 12969 15327 18459 18733 22561 23733 24759 26663 27027 29007 30261 34281 35763 38383 38907 41899 45981 55377 56199 67683 74277 79989 81081 87021 90783 102843 107289 115149 116721 125697 131131 137943 166131 168597 203049 239967 261063 268681 272349 293293 308529 321867 345447 377091 393393 422213 498979 505791 609147 719901 806043 817047 879879 965601 1036341 1131273 1180179 1266639 1496937 1517373 1827441 2159703 2418129 2639637 2955491 3109023 3393819 3492853 3540537 3799917 4490811 5488769 7254387 7918911 8866473 10478559 10621611 11399751 13472433 16466307 21763161 23756733 26599419 31435677 34199253 38421383 40417299 49398921 79798257 94307031 115264149 148196763 239394771 282921093 345792447 444590289 1037377341 3112132023