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131021301120 = 2735174014133
BaseRepresentation
bin111101000000101111…
…0100110010110000000
3110112012002200201101020
41322001132212112000
54121312423113440
6140105041105440
712315554453433
oct1720136462600
9415162621336
10131021301120
1150625121846
1221486928280
13c48065c418
1464acd9d81a
15361c8513d0
hex1e817a6580

131021301120 has 128 divisors (see below), whose sum is σ = 442197001440. Its totient is φ = 32883769344.

The previous prime is 131021301067. The next prime is 131021301161. The reversal of 131021301120 is 21103120131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131021301120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974427 + ... + 2039706.

Almost surely, 2131021301120 is an apocalyptic number.

131021301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021301120 is an abundant number, since it is smaller than the sum of its proper divisors (311175700320).

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

131021301120 is a wasteful number, since it uses less digits than its factorization.

131021301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014172 (or 4014160 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131021301120 its reverse (21103120131), we get a palindrome (152124421251).

The spelling of 131021301120 in words is "one hundred thirty-one billion, twenty-one million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 32640 4014133 8028266 12042399 16056532 20070665 24084798 32113064 40141330 48169596 60211995 64226128 68240261 80282660 96339192 120423990 128452256 136480522 160565320 192678384 204720783 240847980 256904512 272961044 321130640 341201305 385356768 409441566 481695960 513809024 545922088 642261280 682402610 770713536 818883132 963391920 1023603915 1091844176 1284522560 1364805220 1541427072 1637766264 1926783840 2047207830 2183688352 2569045120 2729610440 3275532528 3853567680 4094415660 4367376704 5459220880 6551065056 7707135360 8188831320 8734753408 10918441760 13102130112 16377662640 21836883520 26204260224 32755325280 43673767040 65510650560 131021301120