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131002131024240 = 2435777977458943
BaseRepresentation
bin11101110010010101001111…
…011111000000100101110000
3122011211200101202022221221120
4131302111033133000211300
5114132314331020233430
61142341314223422240
736410406633650250
oct3562251737004560
9564750352287846
10131002131024240
1138817767821183
1212839110754980
1358135a91b1ac8
14244c773649960
1510229ece54610
hex77254f7c0970

131002131024240 has 80 divisors (see below), whose sum is σ = 464121835634688. Its totient is φ = 29943344233728.

The previous prime is 131002131024221. The next prime is 131002131024241. The reversal of 131002131024240 is 42420131200131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1310021310242402 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131002131024240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002131024241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38988727792 + ... + 38988731151.

Almost surely, 2131002131024240 is an apocalyptic number.

131002131024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131002131024240 is an abundant number, since it is smaller than the sum of its proper divisors (333119704610448).

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

131002131024240 is a wasteful number, since it uses less digits than its factorization.

131002131024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77977458966 (or 77977458960 counting only the distinct ones).

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

Adding to 131002131024240 its reverse (42420131200131), we get a palindrome (173422262224371).

The spelling of 131002131024240 in words is "one hundred thirty-one trillion, two billion, one hundred thirty-one million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 77977458943 155954917886 233932376829 311909835772 389887294715 467864753658 545842212601 623819671544 779774589430 935729507316 1091684425202 1169661884145 1247639343088 1559549178860 1637526637803 1871459014632 2183368850404 2339323768290 2729211063005 3119098357720 3275053275606 3742918029264 4366737700808 4678647536580 5458422126010 6238196715440 6550106551212 8187633189015 8733475401616 9357295073160 10916844252020 13100213102424 16375266378030 18714590146320 21833688504040 26200426204848 32750532756060 43667377008080 65501065512120 131002131024240