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31002210100 = 2252310022101
BaseRepresentation
bin11100110111111000…
…000010111100110100
32222000121010110011201
4130313320002330310
51001443031210400
622124152542244
72145156303121
oct346770027464
988017113151
1031002210100
1112169a37344
1260126b1984
132c00bc7224
1417015ad748
15c16ae506a
hex737e02f34

31002210100 has 18 divisors (see below), whose sum is σ = 67274796134. Its totient is φ = 12400884000.

The previous prime is 31002210097. The next prime is 31002210101. The reversal of 31002210100 is 101220013.

It can be written as a sum of positive squares in 3 ways, for example, as 2921834916 + 28080375184 = 54054^2 + 167572^2 .

It is a super-2 number, since 2×310022101002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155010951 + ... + 155011150.

Almost surely, 231002210100 is an apocalyptic number.

It is an amenable number.

31002210100 is an abundant number, since it is smaller than the sum of its proper divisors (36272586034).

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

31002210100 is a wasteful number, since it uses less digits than its factorization.

31002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310022115 (or 310022108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31002210100 its reverse (101220013), we get a palindrome (31103430113).

The spelling of 31002210100 in words is "thirty-one billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 310022101 620044202 1240088404 1550110505 3100221010 6200442020 7750552525 15501105050 31002210100