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131045245115120 = 24571430316360859
BaseRepresentation
bin11101110010111101011001…
…010010001101101011110000
3122011222210200110002201001022
4131302331121102031223300
5114134021130222140440
61142413204324155012
736413464223454230
oct3562753122155360
9564883613081038
10131045245115120
1138833a81585846
1212845543538a68
13581768a483c9b
1424508a363bcc0
151023bc3019cb5
hex772f5948daf0

131045245115120 has 80 divisors (see below), whose sum is σ = 348230303262720. Its totient is φ = 44926654294272.

The previous prime is 131045245115053. The next prime is 131045245115129. The reversal of 131045245115120 is 21511542540131.

It is a happy number.

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

It is a super-2 number, since 2×1310452451151202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045245115129) 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, 170750 + ... + 16190109.

It is an arithmetic number, because the mean of its divisors is an integer number (4352878790784).

Almost surely, 2131045245115120 is an apocalyptic number.

131045245115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045245115120 is an abundant number, since it is smaller than the sum of its proper divisors (217185058147600).

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

131045245115120 is a wasteful number, since it uses less digits than its factorization.

131045245115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16375182 (or 16375176 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 131045245115120 its reverse (21511542540131), we get a palindrome (152556787655251).

The spelling of 131045245115120 in words is "one hundred thirty-one trillion, forty-five billion, two hundred forty-five million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 14303 28606 57212 71515 100121 114424 143030 200242 228848 286060 400484 500605 572120 800968 1001210 1144240 1601936 2002420 4004840 8009680 16360859 32721718 65443436 81804295 114526013 130886872 163608590 229052026 261773744 327217180 458104052 572630065 654434360 916208104 1145260130 1308868720 1832416208 2290520260 4581040520 9162081040 234009366277 468018732554 936037465108 1170046831385 1638065563939 1872074930216 2340093662770 3276131127878 3744149860432 4680187325540 6552262255756 8190327819695 9360374651080 13104524511512 16380655639390 18720749302160 26209049023024 32761311278780 65522622557560 131045245115120