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122100202020216 = 23374715463551421
BaseRepresentation
bin11011110000110010101011…
…001010110001110101111000
3121000022122222000101220210110
4123300302223022301311320
5112000442203204121331
61111404020342544320
734501306554621030
oct3360625312616570
9530278860356713
10122100202020216
11359a544a992952
121183ba067380a0
135318ccc2b4464
14222197772a8c0
15e1b18e475946
hex6f0cab2b1d78

122100202020216 has 64 divisors (see below), whose sum is σ = 356280224762880. Its totient is φ = 34143521535360.

The previous prime is 122100202020163. The next prime is 122100202020217. The reversal of 122100202020216 is 612020202001221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122100202020192 and 122100202020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100202020217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7731767815 + ... + 7731783606.

It is an arithmetic number, because the mean of its divisors is an integer number (5566878511920).

Almost surely, 2122100202020216 is an apocalyptic number.

It is an amenable number.

122100202020216 is an abundant number, since it is smaller than the sum of its proper divisors (234180022742664).

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

122100202020216 is a wasteful number, since it uses less digits than its factorization.

122100202020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15463551484 (or 15463551480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122100202020216 its reverse (612020202001221), we get a palindrome (734120404021437).

The spelling of 122100202020216 in words is "one hundred twenty-two trillion, one hundred billion, two hundred two million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 15463551421 30927102842 46390654263 61854205684 92781308526 108244859947 123708411368 185562617052 216489719894 324734579841 371125234104 432979439788 649469159682 726786916787 865958879576 1298938319364 1453573833574 2180360750361 2597876638728 2907147667148 4360721500722 5087508417509 5814295334296 8721443001444 10175016835018 15262525252527 17442886002888 20350033670036 30525050505054 40700067340072 61050101010108 122100202020216