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2100412422234 = 2327411492728751
BaseRepresentation
bin11110100100001010010…
…101100001100001011010
321102210112100112102011100
4132210022111201201122
5233403121040002414
64244525515412230
7304515115003530
oct36441225414132
97383470472140
102100412422234
1173a864066905
1229b0a7a54076
131230b6644629
14739365ca150
1539983531609
hex1e90a56185a

2100412422234 has 96 divisors (see below), whose sum is σ = 5363634931200. Its totient is φ = 581551200000.

The previous prime is 2100412422217. The next prime is 2100412422281. The reversal of 2100412422234 is 4322242140012.

It is a happy number.

2100412422234 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 4 + 1 + 2 + 422 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2100412422198 and 2100412422207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594642 + ... + 2134109.

It is an arithmetic number, because the mean of its divisors is an integer number (55871197200).

Almost surely, 22100412422234 is an apocalyptic number.

2100412422234 is an abundant number, since it is smaller than the sum of its proper divisors (3263222508966).

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

2100412422234 is a wasteful number, since it uses less digits than its factorization.

2100412422234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728956 (or 2728953 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2100412422234 its reverse (4322242140012), we get a palindrome (6422654562246).

The spelling of 2100412422234 in words is "two trillion, one hundred billion, four hundred twelve million, four hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 149 246 287 298 369 447 574 738 861 894 1043 1341 1722 2086 2583 2682 3129 5166 6109 6258 9387 12218 18327 18774 36654 42763 54981 85526 109962 128289 256578 384867 769734 2728751 5457502 8186253 16372506 19101257 24558759 38202514 49117518 57303771 111878791 114607542 171911313 223757582 335636373 343822626 406583899 671272746 783151537 813167798 1006909119 1219751697 1566303074 2013818238 2349454611 2439503394 2846087293 3659255091 4698909222 5692174586 7048363833 7318510182 8538261879 14096727666 16669939859 17076523758 25614785637 33339879718 50009819577 51229571274 100019639154 116689579013 150029458731 233379158026 300058917462 350068737039 700137474078 1050206211117 2100412422234