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31321401100 = 225211167170503
BaseRepresentation
bin11101001010111001…
…101010011100001100
32222211211202000220121
4131022321222130030
51003121234313400
622215554154324
72156113342123
oct351271523414
988754660817
1031321401100
1112313129260
1260a15829a4
132c52084142
141731b3aaba
15c34b4521a
hex74ae6a70c

31321401100 has 72 divisors (see below), whose sum is σ = 74590725888. Its totient is φ = 11321332800.

The previous prime is 31321401079. The next prime is 31321401109. The reversal of 31321401100 is 110412313.

It is not an unprimeable number, because it can be changed into a prime (31321401109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98449 + ... + 268951.

It is an arithmetic number, because the mean of its divisors is an integer number (1035982304).

Almost surely, 231321401100 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 31321401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37295362944).

31321401100 is an abundant number, since it is smaller than the sum of its proper divisors (43269324788).

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

31321401100 is a wasteful number, since it uses less digits than its factorization.

31321401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170695 (or 170688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31321401100 its reverse (110412313), we get a palindrome (31431813413).

The spelling of 31321401100 in words is "thirty-one billion, three hundred twenty-one million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 1100 1670 1837 3340 3674 4175 7348 8350 9185 16700 18370 36740 45925 91850 170503 183700 341006 682012 852515 1705030 1875533 3410060 3751066 4262575 7502132 8525150 9377665 17050300 18755330 28474001 37510660 46888325 56948002 93776650 113896004 142370005 187553300 284740010 313214011 569480020 626428022 711850025 1252856044 1423700050 1566070055 2847400100 3132140110 6264280220 7830350275 15660700550 31321401100