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131133231100 = 22526161934729
BaseRepresentation
bin111101000100000100…
…1100100111111111100
3110112110220022100110001
41322020021210333330
54122030101343400
6140124120124044
712321414034054
oct1721011447774
9415426270401
10131133231100
1150682321463
12214b8306624
13c49a8bc091
1464bdbb8564
1536275b0a6a
hex1e88264ffc

131133231100 has 72 divisors (see below), whose sum is σ = 289699600400. Its totient is φ = 51508569600.

The previous prime is 131133231091. The next prime is 131133231137. The reversal of 131133231100 is 1132331131.

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, 3758536 + ... + 3793264.

Almost surely, 2131133231100 is an apocalyptic number.

131133231100 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 131133231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144849800200).

131133231100 is an abundant number, since it is smaller than the sum of its proper divisors (158566369300).

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

131133231100 is a wasteful number, since it uses less digits than its factorization.

131133231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35423 (or 35416 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131133231100 its reverse (1132331131), we get a palindrome (132265562231).

The spelling of 131133231100 in words is "one hundred thirty-one billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 619 1220 1238 1525 2476 3050 3095 6100 6190 12380 15475 30950 34729 37759 61900 69458 75518 138916 151036 173645 188795 347290 377590 694580 755180 868225 943975 1736450 1887950 2118469 3472900 3775900 4236938 8473876 10592345 21184690 21497251 42369380 42994502 52961725 85989004 105923450 107486255 211846900 214972510 429945020 537431275 1074862550 1311332311 2149725100 2622664622 5245329244 6556661555 13113323110 26226646220 32783307775 65566615550 131133231100