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20213001312 = 25372341167191
BaseRepresentation
bin10010110100110010…
…011110110001100000
31221011200022212010020
4102310302132301200
5312344012020222
613141414433440
71313616450660
oct226462366140
957150285106
1020213001312
118632792069
123b01362880
131ba186490a
14d9a6d01a0
157d47e265c
hex4b4c9ec60

20213001312 has 384 divisors, whose sum is σ = 65548320768. Its totient is φ = 5328998400.

The previous prime is 20213001307. The next prime is 20213001349. The reversal of 20213001312 is 21310031202.

It is a junction number, because it is equal to n+sod(n) for n = 20213001291 and 20213001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105827137 + ... + 105827327.

It is an arithmetic number, because the mean of its divisors is an integer number (170698752).

Almost surely, 220213001312 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 20213001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32774160384).

20213001312 is an abundant number, since it is smaller than the sum of its proper divisors (45335319456).

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

20213001312 is a wasteful number, since it uses less digits than its factorization.

20213001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20213001312 its reverse (21310031202), we get a palindrome (41523032514).

The spelling of 20213001312 in words is "twenty billion, two hundred thirteen million, one thousand, three hundred twelve".