Search a number
-
+
100212120157 is a prime number
BaseRepresentation
bin101110101010100011…
…0111001101001011101
3100120122221210011101211
41131111012321221131
53120213300321112
6114011541304421
710145230652422
oct1352506715135
9316587704354
10100212120157
1139555147116
1217508a05111
1395b074b626
144bc92b9d49
152917b8a0a7
hex17551b9a5d

100212120157 has 2 divisors, whose sum is σ = 100212120158. Its totient is φ = 100212120156.

The previous prime is 100212120079. The next prime is 100212120167. The reversal of 100212120157 is 751021212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97665000196 + 2547119961 = 312514^2 + 50469^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100212120157 is a prime.

It is a super-2 number, since 2×1002121201572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212120167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106060078 + 50106060079.

It is an arithmetic number, because the mean of its divisors is an integer number (50106060079).

Almost surely, 2100212120157 is an apocalyptic number.

It is an amenable number.

100212120157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212120157 is an equidigital number, since it uses as much as digits as its factorization.

100212120157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 100212120157 its reverse (751021212001), we get a palindrome (851233332158).

The spelling of 100212120157 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred fifty-seven".