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41312132202120 = 233513191393796633
BaseRepresentation
bin10010110010010101110101…
…11101101111111010001000
312102021101211112011012002220
421121022322331233322020
520403324221320431440
6223510310451054040
711462463101533653
oct1131127275577210
9172241745135086
1041312132202120
111218841669428a
1247726995a1320
131a08943033610
14a2b73705689a
154b9953cc88d0
hex2592baf6fe88

41312132202120 has 128 divisors (see below), whose sum is σ = 140494700707200. Its totient is φ = 9633922320384.

The previous prime is 41312132202119. The next prime is 41312132202137. The reversal of 41312132202120 is 2120223121314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696868677 + ... + 696927956.

It is an arithmetic number, because the mean of its divisors is an integer number (1097614849275).

Almost surely, 241312132202120 is an apocalyptic number.

41312132202120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312132202120 is an abundant number, since it is smaller than the sum of its proper divisors (99182568505080).

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

41312132202120 is a wasteful number, since it uses less digits than its factorization.

41312132202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393796679 (or 1393796675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41312132202120 its reverse (2120223121314), we get a palindrome (43432355323434).

The spelling of 41312132202120 in words is "forty-one trillion, three hundred twelve billion, one hundred thirty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 1393796633 2787593266 4181389899 5575186532 6968983165 8362779798 11150373064 13937966330 16725559596 18119356229 20906949495 26482136027 27875932660 33451119192 36238712458 41813898990 52964272054 54358068687 55751865320 72477424916 79446408081 83627797980 90596781145 105928544108 108716137374 132410680135 144954849832 158892816162 167255595960 181193562290 211857088216 217432274748 264821360270 271790343435 317785632324 344267768351 362387124580 397232040405 434864549496 529642720540 543580686870 635571264648 688535536702 724774249160 794464080810 1032803305053 1059285441080 1087161373740 1377071073404 1588928161620 1721338841755 2065606610106 2174322747480 2754142146808 3177856323240 3442677683510 4131213220212 5164016525265 6885355367020 8262426440424 10328033050530 13770710734040 20656066101060 41312132202120