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12153052502010 = 234575153415951
BaseRepresentation
bin1011000011011001101001…
…1000001001011111111010
31121000211011010100210020000
42300312122120021133322
53043103422420031020
641503011340213430
72363012653554360
oct260663230113772
947024133323200
1012153052502010
113966098342992
12144341483a276
136a20494a6744
143002d4921630
151611de9b5090
hexb0d9a6097fa

12153052502010 has 160 divisors (see below), whose sum is σ = 37353860577792. Its totient is φ = 2777294822400.

The previous prime is 12153052501969. The next prime is 12153052502023. The reversal of 12153052502010 is 1020525035121.

12153052502010 is a `hidden beast` number, since 1 + 2 + 1 + 530 + 52 + 50 + 20 + 10 = 666.

It is a super-2 number, since 2×121530525020102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29009535 + ... + 29425485.

Almost surely, 212153052502010 is an apocalyptic number.

12153052502010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12153052502010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676930288896).

12153052502010 is an abundant number, since it is smaller than the sum of its proper divisors (25200808075782).

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

12153052502010 is a wasteful number, since it uses less digits than its factorization.

12153052502010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421130 (or 421121 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 12153052502010 its reverse (1020525035121), we get a palindrome (13173577537131).

The spelling of 12153052502010 in words is "twelve trillion, one hundred fifty-three billion, fifty-two million, five hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5153 5670 10306 15459 25765 30918 36071 46377 51530 72142 77295 92754 108213 139131 154590 180355 216426 231885 278262 324639 360710 415951 417393 463770 541065 649278 695655 831902 834786 973917 1082130 1247853 1391310 1623195 1947834 2079755 2086965 2495706 2911657 2921751 3246390 3743559 4159510 4173930 4869585 5823314 5843502 6239265 7487118 8734971 9739170 11230677 12478530 14558285 14608755 17469942 18717795 22461354 26204913 29116570 29217510 33692031 37435590 43674855 52409826 56153385 67384062 78614739 87349710 112306770 131024565 157229478 168460155 235844217 262049130 336920310 393073695 471688434 786147390 1179221085 2143395503 2358442170 4286791006 6430186509 10716977515 12860373018 15003768521 19290559527 21433955030 30007537042 32150932545 38581119054 45011305563 57871678581 64301865090 75018842605 90022611126 96452797635 115743357162 135033916689 150037685210 173615035743 192905595270 225056527815 270067833378 289358392905 347230071486 405101750067 450113055630 578716785810 675169583445 810203500134 868075178715 1215305250201 1350339166890 1736150357430 2025508750335 2430610500402 4051017500670 6076526251005 12153052502010