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31434130212 = 223435910110223
BaseRepresentation
bin11101010001100111…
…101100001100100100
310000010200212021011220
4131101213230030210
51003334114131322
622235102300340
72161652461332
oct352147541444
9100120767156
1031434130212
1112370824311
1261132876b0
132c6c533764
141742ac2b52
15c3e9b155c
hex7519ec324

31434130212 has 96 divisors (see below), whose sum is σ = 77087324160. Its totient is φ = 9960316800.

The previous prime is 31434130181. The next prime is 31434130229. The reversal of 31434130212 is 21203143413.

It is a happy number.

It is a super-3 number, since 3×314341302123 (a number of 32 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3069733 + ... + 3079955.

It is an arithmetic number, because the mean of its divisors is an integer number (802992960).

Almost surely, 231434130212 is an apocalyptic number.

It is an amenable number.

31434130212 is an abundant number, since it is smaller than the sum of its proper divisors (45653193948).

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

31434130212 is a wasteful number, since it uses less digits than its factorization.

31434130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31434130212 its reverse (21203143413), we get a palindrome (52637273625).

The spelling of 31434130212 in words is "thirty-one billion, four hundred thirty-four million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 59 86 101 118 129 172 177 202 236 258 303 354 404 516 606 708 1212 2537 4343 5074 5959 7611 8686 10148 10223 11918 13029 15222 17372 17877 20446 23836 26058 30444 30669 35754 40892 52116 61338 71508 122676 256237 439589 512474 603157 768711 879178 1024948 1032523 1206314 1318767 1537422 1758356 1809471 2065046 2412628 2637534 3074844 3097569 3618942 4130092 5275068 6195138 7237884 12390276 25935751 44398489 51871502 60918857 77807253 88796978 103743004 121837714 133195467 155614506 177593956 182756571 243675428 266390934 311229012 365513142 532781868 731026284 2619510851 5239021702 7858532553 10478043404 15717065106 31434130212