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131202123100 = 225219491140639
BaseRepresentation
bin111101000110001000…
…0011000010101011100
3110112122200221102111121
41322030100120111130
54122200220414400
6140135020500324
712323211434266
oct1721420302534
9415580842447
10131202123100
11507081a5aa4
12215173aa6a4
13c4abc60489
1464c8dccb36
15362d66d21a
hex1e8c41855c

131202123100 has 72 divisors (see below), whose sum is σ = 300305779200. Its totient is φ = 49617086400.

The previous prime is 131202123071. The next prime is 131202123131. The reversal of 131202123100 is 1321202131.

It is a super-2 number, since 2×1312021231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862581 + ... + 1003219.

It is an arithmetic number, because the mean of its divisors is an integer number (4170913600).

Almost surely, 2131202123100 is an apocalyptic number.

131202123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150152889600).

131202123100 is an abundant number, since it is smaller than the sum of its proper divisors (169103656100).

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

131202123100 is a wasteful number, since it uses less digits than its factorization.

131202123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141163 (or 141156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131202123100 its reverse (1321202131), we get a palindrome (132523325231).

The spelling of 131202123100 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 491 950 982 1900 1964 2455 4910 9329 9820 12275 18658 24550 37316 46645 49100 93290 140639 186580 233225 281278 466450 562556 703195 932900 1406390 2672141 2812780 3515975 5344282 7031950 10688564 13360705 14063900 26721410 53442820 66803525 69053749 133607050 138107498 267214100 276214996 345268745 690537490 1312021231 1381074980 1726343725 2624042462 3452687450 5248084924 6560106155 6905374900 13120212310 26240424620 32800530775 65601061550 131202123100