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131102201010 = 235113761176021
BaseRepresentation
bin111101000011001001…
…1001101010010110010
3110112101201220212011110
41322012103031102302
54121444130413020
6140121051054150
712320556215244
oct1720623152262
9415351825143
10131102201010
1150666858060
12214a9a41356
13c494346291
1464b9a1c094
1536249d18e0
hex1e864cd4b2

131102201010 has 128 divisors (see below), whose sum is σ = 358307566848. Its totient is φ = 30416256000.

The previous prime is 131102200991. The next prime is 131102201011. The reversal of 131102201010 is 10102201131.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131102201011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656800 + ... + 832820.

It is an arithmetic number, because the mean of its divisors is an integer number (2799277866).

Almost surely, 2131102201010 is an apocalyptic number.

131102201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131102201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179153783424).

131102201010 is an abundant number, since it is smaller than the sum of its proper divisors (227205365838).

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

131102201010 is a wasteful number, since it uses less digits than its factorization.

131102201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176140.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131102201010 its reverse (10102201131), we get a palindrome (141204402141).

The spelling of 131102201010 in words is "one hundred thirty-one billion, one hundred two million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 61 66 74 110 111 122 165 183 185 222 305 330 366 370 407 555 610 671 814 915 1110 1221 1342 1830 2013 2035 2257 2442 3355 4026 4070 4514 6105 6710 6771 10065 11285 12210 13542 20130 22570 24827 33855 49654 67710 74481 124135 148962 176021 248270 352042 372405 528063 744810 880105 1056126 1760210 1936231 2640315 3872462 5280630 5808693 6512777 9681155 10737281 11617386 13025554 19362310 19538331 21474562 29043465 32211843 32563885 39076662 53686405 58086930 64423686 65127770 71640547 97691655 107372810 118110091 143281094 161059215 195383310 214921641 236220182 322118430 354330273 358202735 397279397 429843282 590550455 708660546 716405470 794558794 1074608205 1181100910 1191838191 1771651365 1986396985 2149216410 2383676382 3543302730 3972793970 4370073367 5959190955 8740146734 11918381910 13110220101 21850366835 26220440202 43700733670 65551100505 131102201010