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420883131160700 = 2252131937460535213
BaseRepresentation
bin101111110110010100111110…
…1100001100101100001111100
32001012020000221001210212202222
41133230221331201211201330
5420131222123034120300
64051051012522504512
7154436542226660255
oct13754517541454174
92035200831725688
10420883131160700
1111211959615991a
123b255b79065138
13150b015552b370
1475d0bd0791b2c
15339d2095c6785
hex17eca7d86587c

420883131160700 has 144 divisors (see below), whose sum is σ = 1063320544900320. Its totient is φ = 143244872340480.

The previous prime is 420883131160673. The next prime is 420883131160703. The reversal of 420883131160700 is 7061131388024.

It is a super-2 number, since 2×4208831311607002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420883131160703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229353707 + ... + 231181506.

Almost surely, 2420883131160700 is an apocalyptic number.

It is an amenable number.

420883131160700 is an abundant number, since it is smaller than the sum of its proper divisors (642437413739620).

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

420883131160700 is a wasteful number, since it uses less digits than its factorization.

420883131160700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460535296 (or 460535289 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 420883131160700 in words is "four hundred twenty trillion, eight hundred eighty-three billion, one hundred thirty-one million, one hundred sixty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 37 38 50 52 65 74 76 95 100 130 148 185 190 247 260 325 370 380 475 481 494 650 703 740 925 950 962 988 1235 1300 1406 1850 1900 1924 2405 2470 2812 3515 3700 4810 4940 6175 7030 9139 9620 12025 12350 14060 17575 18278 24050 24700 35150 36556 45695 48100 70300 91390 182780 228475 456950 913900 460535213 921070426 1842140852 2302676065 4605352130 5986957769 8750169047 9210704260 11513380325 11973915538 17039802881 17500338094 23026760650 23947831076 29934788845 34079605762 35000676188 43750845235 46053521300 59869577690 68159211524 85199014405 87501690470 113752197611 119739155380 149673944225 170398028810 175003380940 218754226175 221517437453 227504395222 299347888450 323756254739 340796057620 425995072025 437508452350 443034874906 455008790444 568760988055 598695776900 647512509478 851990144050 875016904700 886069749812 1107587187265 1137521976110 1295025018956 1618781273695 1703980288100 2215174374530 2275043952220 2843804940275 3237562547390 4208831311607 4430348749060 5537935936325 5687609880550 6475125094780 8093906368475 8417662623214 11075871872650 11375219761100 16187812736950 16835325246428 21044156558035 22151743745300 32375625473900 42088313116070 84176626232140 105220782790175 210441565580350 420883131160700