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10150601006224 = 247261212249101
BaseRepresentation
bin1001001110110101111011…
…1101111001110010010000
31022221101110211121001020201
42103231132331321302100
52312301412324144344
633331042143144544
72065233232645300
oct223553675716220
938841424531221
1010150601006224
113263933708028
12117b3078a5154
13588275096563
14271412649600
1512909168d4d4
hex93b5ef79c90

10150601006224 has 60 divisors (see below), whose sum is σ = 23252738120508. Its totient is φ = 4278941856000.

The previous prime is 10150601006219. The next prime is 10150601006233. The reversal of 10150601006224 is 42260010605101.

It can be written as a sum of positive squares in 2 ways, for example, as 1682105241600 + 8468495764624 = 1296960^2 + 2910068^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10150601006192 and 10150601006201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106076727 + ... + 106172374.

Almost surely, 210150601006224 is an apocalyptic number.

10150601006224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10150601006224 is an abundant number, since it is smaller than the sum of its proper divisors (13102137114284).

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

10150601006224 is a wasteful number, since it uses less digits than its factorization.

10150601006224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212249184 (or 212249171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 10150601006224 in words is "ten trillion, one hundred fifty billion, six hundred one million, six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2989 3416 5978 6832 11956 23912 47824 212249101 424498202 848996404 1485743707 1697992808 2971487414 3395985616 5942974828 10400205949 11885949656 12947195161 20800411898 23771899312 25894390322 41600823796 51788780644 83201647592 90630366127 103577561288 166403295184 181260732254 207155122576 362521464508 634412562889 725042929016 1268825125778 1450085858032 2537650251556 5075300503112 10150601006224