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10106241255036 = 2234172107931151
BaseRepresentation
bin1001001100010000101011…
…1010111000011001111100
31022210010222022220012110000
42103010022322320121330
52311040040230130121
633254424303514300
72062103036201523
oct223041272703174
938703868805400
1010106241255036
11324703a7a0433
1211727a78b8990
13584025a03b84
1426d20503d4ba
15127d4706d526
hex9310aeb867c

10106241255036 has 90 divisors (see below), whose sum is σ = 28065229523408. Its totient is φ = 3170585462400.

The previous prime is 10106241255029. The next prime is 10106241255037. The reversal of 10106241255036 is 63055214260101.

10106241255036 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 24 + 125 + 503 + 6 = 666.

It is a super-3 number, since 3×101062412550363 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106241255037) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53871940 + ... + 54059211.

Almost surely, 210106241255036 is an apocalyptic number.

It is an amenable number.

10106241255036 is an abundant number, since it is smaller than the sum of its proper divisors (17958988268372).

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

10106241255036 is a wasteful number, since it uses less digits than its factorization.

10106241255036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107931201 (or 107931173 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10106241255036 in words is "ten trillion, one hundred six billion, two hundred forty-one million, two hundred fifty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 31212 46818 93636 107931151 215862302 323793453 431724604 647586906 971380359 1295173812 1834829567 1942760718 2914141077 3669659134 3885521436 5504488701 5828282154 7339318268 8742423231 11008977402 11656564308 16513466103 17484846462 22017954804 31192102639 33026932206 34969692924 49540398309 62384205278 66053864412 93576307917 99080796618 124768410556 148621194927 187152615834 198161593236 280728923751 297242389854 374305231668 561457847502 594484779708 842186771253 1122915695004 1684373542506 2526560313759 3368747085012 5053120627518 10106241255036