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20122023402 = 2341317355229
BaseRepresentation
bin10010101111010111…
…011011010111101010
31220221100010200220000
4102233113123113222
5312202214222102
613124404443430
71311433243155
oct225727332752
956840120800
1020122023402
1185963a3008
123a969a9576
131b88a5c830
14d8c5aac9c
157cb82101c
hex4af5db5ea

20122023402 has 80 divisors (see below), whose sum is σ = 48838121640. Its totient is φ = 6155491968.

The previous prime is 20122023401. The next prime is 20122023443. The reversal of 20122023402 is 20432022102.

20122023402 is a `hidden beast` number, since 20 + 1 + 220 + 23 + 402 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20095614081 + 26409321 = 141759^2 + 5139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20122023401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336724 + ... + 391952.

Almost surely, 220122023402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122023402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24419060820).

20122023402 is an abundant number, since it is smaller than the sum of its proper divisors (28716098238).

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

20122023402 is a wasteful number, since it uses less digits than its factorization.

20122023402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55429 (or 55420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20122023402 its reverse (20432022102), we get a palindrome (40554045504).

The spelling of 20122023402 in words is "twenty billion, one hundred twenty-two million, twenty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 173 234 346 351 519 702 1038 1053 1557 2106 2249 3114 4498 4671 6747 9342 13494 14013 20241 28026 40482 55229 60723 110458 121446 165687 182169 331374 364338 497061 717977 994122 1435954 1491183 2153931 2982366 4307862 4473549 6461793 8947098 9554617 12923586 19109234 19385379 28663851 38770758 57327702 58156137 85991553 116312274 124210021 171983106 248420042 257974659 372630063 515949318 745260126 773923977 1117890189 1547847954 2235780378 3353670567 6707341134 10061011701 20122023402