Search a number
-
+
101311001232 = 2437676596829
BaseRepresentation
bin101111001011010011…
…0110011001010010000
3100200111112112002211220
41132112212303022100
53124441104014412
6114312554205040
710214403205350
oct1362646631220
9320445462756
10101311001232
1139a694677a1
1217774a23780
1397272c9c0c
144c91206b60
15297e39e68c
hex17969b3290

101311001232 has 160 divisors (see below), whose sum is σ = 304078156800. Its totient is φ = 28466532864.

The previous prime is 101311001201. The next prime is 101311001249. The reversal of 101311001232 is 232100113101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14831994 + ... + 14838822.

It is an arithmetic number, because the mean of its divisors is an integer number (1900488480).

Almost surely, 2101311001232 is an apocalyptic number.

101311001232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152039078400).

101311001232 is an abundant number, since it is smaller than the sum of its proper divisors (202767155568).

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

101311001232 is a wasteful number, since it uses less digits than its factorization.

101311001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101311001232 its reverse (232100113101), we get a palindrome (333411114333).

The spelling of 101311001232 in words is "one hundred one billion, three hundred eleven million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 659 804 938 1072 1318 1407 1608 1876 1977 2636 2814 3216 3752 3954 4613 5272 5628 6829 7504 7908 9226 10544 11256 13658 13839 15816 18452 20487 22512 27316 27678 31632 36904 40974 44153 47803 54632 55356 73808 81948 88306 95606 109264 110712 132459 143409 163896 176612 191212 221424 264918 286818 309071 327792 353224 382424 457543 529836 573636 618142 706448 764848 915086 927213 1059672 1147272 1236284 1372629 1830172 1854426 2119344 2294544 2472568 2745258 3202801 3660344 3708852 4500311 4945136 5490516 6405602 7320688 7417704 9000622 9608403 10981032 12811204 13500933 14835408 18001244 19216806 21962064 25622408 27001866 31502177 36002488 38433612 51244816 54003732 63004354 72004976 76867224 94506531 108007464 126008708 153734448 189013062 216014928 252017416 301520837 378026124 504034832 603041674 756052248 904562511 1206083348 1512104496 1809125022 2110645859 2412166696 3618250044 4221291718 4824333392 6331937577 7236500088 8442583436 12663875154 14473000176 16885166872 25327750308 33770333744 50655500616 101311001232