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131001412301320 = 235113111384993001
BaseRepresentation
bin11101110010010100100100…
…101001010011001000001000
3122011211121112122221001110011
4131302110210221103020020
5114132311343022120240
61142341115031001304
736410353055626201
oct3562244451231010
9564747478831404
10131001412301320
1138817429053aa0
1212838b4bb09234
1358134c3318682
14244c705dda5a8
1510229a9cd46ea
hex772524a53208

131001412301320 has 128 divisors (see below), whose sum is σ = 334858828999680. Its totient is φ = 45692236800000.

The previous prime is 131001412301303. The next prime is 131001412301321. The reversal of 131001412301320 is 23103214100131.

It is a super-2 number, since 2×1310014123013202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131001412301291 and 131001412301300.

It is not an unprimeable number, because it can be changed into a prime (131001412301321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40955181 + ... + 44037820.

It is an arithmetic number, because the mean of its divisors is an integer number (2616084601560).

Almost surely, 2131001412301320 is an apocalyptic number.

131001412301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001412301320 is an abundant number, since it is smaller than the sum of its proper divisors (203857416698360).

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

131001412301320 is a wasteful number, since it uses less digits than its factorization.

131001412301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84993167 (or 84993163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131001412301320 its reverse (23103214100131), we get a palindrome (154104626401451).

The spelling of 131001412301320 in words is "one hundred thirty-one trillion, one billion, four hundred twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 113 124 155 220 226 248 310 341 440 452 565 620 682 904 1130 1240 1243 1364 1705 2260 2486 2728 3410 3503 4520 4972 6215 6820 7006 9944 12430 13640 14012 17515 24860 28024 35030 38533 49720 70060 77066 140120 154132 192665 308264 385330 770660 1541320 84993001 169986002 339972004 424965005 679944008 849930010 934923011 1699860020 1869846022 2634783031 3399720040 3739692044 4674615055 5269566062 7479384088 9349230110 9604209113 10539132124 13173915155 18698460220 19208418226 21078264248 26347830310 28982613341 37396920440 38416836452 48021045565 52695660620 57965226682 76833672904 96042091130 105391321240 105646300243 115930453364 144913066705 192084182260 211292600486 231860906728 289826133410 297730482503 384168364520 422585200972 528231501215 579652266820 595460965006 845170401944 1056463002430 1159304533640 1190921930012 1488652412515 2112926004860 2381843860024 2977304825030 3275035307533 4225852009720 5954609650060 6550070615066 11909219300120 13100141230132 16375176537665 26200282460264 32750353075330 65500706150660 131001412301320