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130991900 = 225213223337
BaseRepresentation
bin1111100111011…
…00011100011100
3100010111002002212
413303230130130
5232013220100
620555335552
73150261404
oct763543434
9303432085
10130991900
1167a3a176
1237a515b8
13211a5100
141357b804
15b777635
hex7cec71c

130991900 has 108 divisors (see below), whose sum is σ = 322135632. Its totient is φ = 46126080.

The previous prime is 130991897. The next prime is 130991911. The reversal of 130991900 is 9199031.

It is a super-2 number, since 2×1309919002 = 34317755731220000, which 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 35 ways as a sum of consecutive naturals, for example, 388532 + ... + 388868.

Almost surely, 2130991900 is an apocalyptic number.

130991900 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 130991900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161067816).

130991900 is an abundant number, since it is smaller than the sum of its proper divisors (191143732).

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

130991900 is a wasteful number, since it uses less digits than its factorization.

130991900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 32.

The square root of 130991900 is about 11445.1692866467. The cubic root of 130991900 is about 507.8648399385.

The spelling of 130991900 in words is "one hundred thirty million, nine hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 169 230 260 299 325 337 338 460 575 598 650 674 676 845 1150 1196 1300 1348 1495 1685 1690 2300 2990 3370 3380 3887 4225 4381 5980 6740 7475 7751 7774 8425 8450 8762 14950 15502 15548 16850 16900 17524 19435 21905 29900 31004 33700 38755 38870 43810 56953 77510 77740 87620 97175 100763 109525 113906 155020 193775 194350 201526 219050 227812 284765 387550 388700 403052 438100 503815 569530 775100 1007630 1139060 1309919 1423825 2015260 2519075 2619838 2847650 5038150 5239676 5695300 6549595 10076300 13099190 26198380 32747975 65495950 130991900