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10042226124 = 2237671784333
BaseRepresentation
bin10010101101001000…
…00011010111001100
3221220212012221110220
421112210003113030
5131031302213444
64340251431340
7503566341120
oct112644032714
927825187426
1010042226124
114293636137
121b43155550
13c40683348
146b39d5580
153db94e619
hex2569035cc

10042226124 has 48 divisors (see below), whose sum is σ = 27178975488. Its totient is φ = 2826381888.

The previous prime is 10042226113. The next prime is 10042226137. The reversal of 10042226124 is 42162224001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10042226094 and 10042226103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886539 + ... + 897794.

It is an arithmetic number, because the mean of its divisors is an integer number (566228656).

Almost surely, 210042226124 is an apocalyptic number.

10042226124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10042226124 is an abundant number, since it is smaller than the sum of its proper divisors (17136749364).

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

10042226124 is a wasteful number, since it uses less digits than its factorization.

10042226124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784414 (or 1784412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 10042226124 in words is "ten billion, forty-two million, two hundred twenty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 1784333 3568666 5352999 7137332 10705998 12490331 21411996 24980662 37470993 49961324 74941986 119550311 149883972 239100622 358650933 478201244 717301866 836852177 1434603732 1673704354 2510556531 3347408708 5021113062 10042226124