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131001100024340 = 22571379911121853
BaseRepresentation
bin11101110010010100010010…
…000010000011101000010100
3122011211120201220022201222002
4131302110102002003220110
5114132310223101234330
61142341024033454432
736410342244414530
oct3562242202035024
9564746656281862
10131001100024340
1138817288854747
1212838a83411418
13581347370c7b0
14244c6b674cbc0
15102298c69ce45
hex772512083a14

131001100024340 has 96 divisors (see below), whose sum is σ = 342873376097280. Its totient is φ = 40934882566656.

The previous prime is 131001100024309. The next prime is 131001100024343. The reversal of 131001100024340 is 43420001100131.

It is a super-2 number, since 2×1310011000243402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001100024343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455417147 + ... + 455704706.

It is an arithmetic number, because the mean of its divisors is an integer number (3571597667680).

Almost surely, 2131001100024340 is an apocalyptic number.

131001100024340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001100024340 is an abundant number, since it is smaller than the sum of its proper divisors (211872276072940).

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

131001100024340 is a wasteful number, since it uses less digits than its factorization.

131001100024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911121961 (or 911121959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131001100024340 its reverse (43420001100131), we get a palindrome (174421101124471).

The spelling of 131001100024340 in words is "one hundred thirty-one trillion, one billion, one hundred million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1580 1820 2054 2212 2765 4108 5135 5530 7189 10270 11060 14378 20540 28756 35945 71890 143780 911121853 1822243706 3644487412 4555609265 6377852971 9111218530 11844584089 12755705942 18222437060 23689168178 25511411884 31889264855 47378336356 59222920445 63778529710 71978626387 82912088623 118445840890 127557059420 143957252774 165824177246 236891681780 287914505548 331648354492 359893131935 414560443115 503850384709 719786263870 829120886230 935722143031 1007700769418 1439572527740 1658241772460 1871444286062 2015401538836 2519251923545 3742888572124 4678610715155 5038503847090 6550055001217 9357221430310 10077007694180 13100110002434 18714442860620 26200220004868 32750275006085 65500550012170 131001100024340