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21310100292 = 22313353101151
BaseRepresentation
bin10011110110001011…
…100101001101000100
32001000010201020222210
4103312023211031010
5322120341202132
613442325223420
71353040602165
oct236613451504
961003636883
1021310100292
119045aa5838
124168861b70
132017c3b000
1410622b576c
1584aca3bcc
hex4f62e5344

21310100292 has 192 divisors, whose sum is σ = 55792074240. Its totient is φ = 6327360000.

The previous prime is 21310100291. The next prime is 21310100293. The reversal of 21310100292 is 29200101312.

It is an interprime number because it is at equal distance from previous prime (21310100291) and next prime (21310100293).

It is not an unprimeable number, because it can be changed into a prime (21310100291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141126417 + ... + 141126567.

It is an arithmetic number, because the mean of its divisors is an integer number (290583720).

Almost surely, 221310100292 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 21310100292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896037120).

21310100292 is an abundant number, since it is smaller than the sum of its proper divisors (34481973948).

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

21310100292 is a wasteful number, since it uses less digits than its factorization.

21310100292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 21310100292 in words is "twenty-one billion, three hundred ten million, one hundred thousand, two hundred ninety-two".