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42112123100 = 22524324140637
BaseRepresentation
bin100111001110000101…
…000000000011011100
311000200212101111200222
4213032011000003130
51142221200414400
631202424540512
73020402066045
oct471605000334
9130625344628
1042112123100
1116950217423
1281b3321738
133c81826448
142076cd18cc
151167146185
hex9ce1400dc

42112123100 has 72 divisors (see below), whose sum is σ = 93898813008. Its totient is φ = 16384435200.

The previous prime is 42112123069. The next prime is 42112123153. The reversal of 42112123100 is 132121124.

It is a super-2 number, since 2×421121231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015982 + ... + 1056618.

Almost surely, 242112123100 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 42112123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949406504).

42112123100 is an abundant number, since it is smaller than the sum of its proper divisors (51786689908).

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

42112123100 is a wasteful number, since it uses less digits than its factorization.

42112123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40935 (or 40928 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 42112123100 its reverse (132121124), we get a palindrome (42244244224).

The spelling of 42112123100 in words is "forty-two billion, one hundred twelve million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 241 430 482 860 964 1075 1205 2150 2410 4300 4820 6025 10363 12050 20726 24100 40637 41452 51815 81274 103630 162548 203185 207260 259075 406370 518150 812740 1015925 1036300 1747391 2031850 3494782 4063700 6989564 8736955 9793517 17473910 19587034 34947820 39174068 43684775 48967585 87369550 97935170 174739100 195870340 244837925 421121231 489675850 842242462 979351700 1684484924 2105606155 4211212310 8422424620 10528030775 21056061550 42112123100