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131700199678720 = 285896411803551
BaseRepresentation
bin11101111100011111010111…
…100111100110001100000000
3122021022102020100122211200221
4131330133113213212030000
5114230234002104204340
61144034123025352424
736512011502422651
oct3574372747461400
9567272210584627
10131700199678720
1138a66817335352
121293046a498714
13586437749193a
142474476247528
151035c576ab44a
hex77c7d79e6300

131700199678720 has 144 divisors (see below), whose sum is σ = 319505513160960. Its totient is φ = 52006879232000.

The previous prime is 131700199678637. The next prime is 131700199678739. The reversal of 131700199678720 is 27876991007131.

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, 72120945 + ... + 73924495.

It is an arithmetic number, because the mean of its divisors is an integer number (2218788285840).

Almost surely, 2131700199678720 is an apocalyptic number.

131700199678720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131700199678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159752756580480).

131700199678720 is an abundant number, since it is smaller than the sum of its proper divisors (187805313482240).

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

131700199678720 is an equidigital number, since it uses as much as digits as its factorization.

131700199678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804302 (or 1804288 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 61.

The spelling of 131700199678720 in words is "one hundred thirty-one trillion, seven hundred billion, one hundred ninety-nine million, six hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 640 641 712 890 1280 1282 1424 1780 2564 2848 3205 3560 5128 5696 6410 7120 10256 11392 12820 14240 20512 22784 25640 28480 41024 51280 56960 57049 82048 102560 113920 114098 164096 205120 228196 285245 410240 456392 570490 820480 912784 1140980 1803551 1825568 2281960 3607102 3651136 4563920 7214204 7302272 9017755 9127840 14428408 14604544 18035510 18255680 28856816 36071020 36511360 57713632 72142040 73022720 115427264 144284080 160516039 230854528 288568160 321032078 461709056 577136320 642064156 802580195 1154272640 1156076191 1284128312 1605160390 2308545280 2312152382 2568256624 3210320780 4624304764 5136513248 5780380955 6420641560 9248609528 10273026496 11560761910 12841283120 18497219056 20546052992 23121523820 25682566240 36994438112 41092105984 46243047640 51365132480 73988876224 92486095280 102730264960 102890780999 147977752448 184972190560 205460529920 205781561998 295955504896 369944381120 411563123996 514453904995 739888762240 823126247992 1028907809990 1479777524480 1646252495984 2057815619980 3292504991968 4115631239960 6585009983936 8231262479920 13170019967872 16462524959840 26340039935744 32925049919680 65850099839360 131700199678720