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31002210101 is a prime number
BaseRepresentation
bin11100110111111000…
…000010111100110101
32222000121010110011202
4130313320002330311
51001443031210401
622124152542245
72145156303122
oct346770027465
988017113152
1031002210101
1112169a37345
1260126b1985
132c00bc7225
1417015ad749
15c16ae506b
hex737e02f35

31002210101 has 2 divisors, whose sum is σ = 31002210102. Its totient is φ = 31002210100.

The previous prime is 31002210097. The next prime is 31002210119. The reversal of 31002210101 is 10101220013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16360968100 + 14641242001 = 127910^2 + 121001^2 .

It is an emirp because it is prime and its reverse (10101220013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31002210101 - 22 = 31002210097 is a prime.

It is a super-2 number, since 2×310022101012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31002210121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15501105050 + 15501105051.

It is an arithmetic number, because the mean of its divisors is an integer number (15501105051).

Almost surely, 231002210101 is an apocalyptic number.

It is an amenable number.

31002210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31002210101 is an equidigital number, since it uses as much as digits as its factorization.

31002210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 31002210101 its reverse (10101220013), we get a palindrome (41103430114).

The spelling of 31002210101 in words is "thirty-one billion, two million, two hundred ten thousand, one hundred one".