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130433244100 = 225214912836823
BaseRepresentation
bin111100101111001101…
…1010101101111000100
3110110200010011022210121
41321132123111233010
54114111402302400
6135530433031324
712265154165455
oct1713633255704
9413603138717
10130433244100
1150353190905
12213419b5544
13c3b88858a3
146454c4512c
1535d5de221a
hex1e5e6d5bc4

130433244100 has 72 divisors (see below), whose sum is σ = 285203620800. Its totient is φ = 51775159680.

The previous prime is 130433244061. The next prime is 130433244113. The reversal of 130433244100 is 1442334031.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 19113289 + ... + 19120111.

It is an arithmetic number, because the mean of its divisors is an integer number (3961161400).

Almost surely, 2130433244100 is an apocalyptic number.

130433244100 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 130433244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142601810400).

130433244100 is an abundant number, since it is smaller than the sum of its proper divisors (154770376700).

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

130433244100 is a wasteful number, since it uses less digits than its factorization.

130433244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 130433244100 its reverse (1442334031), we get a palindrome (131875578131).

The spelling of 130433244100 in words is "one hundred thirty billion, four hundred thirty-three million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1283 1490 2566 2980 3725 5132 6415 6823 7450 12830 13646 14900 25660 27292 32075 34115 64150 68230 128300 136460 170575 191167 341150 382334 682300 764668 955835 1016627 1911670 2033254 3823340 4066508 4779175 5083135 8753909 9558350 10166270 17507818 19116700 20332540 25415675 35015636 43769545 50831350 87539090 101662700 175078180 218847725 437695450 875390900 1304332441 2608664882 5217329764 6521662205 13043324410 26086648820 32608311025 65216622050 130433244100