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130022321100 = 22352797638303
BaseRepresentation
bin111100100010111101…
…1110010101111001100
3110102121110221021102020
41321011323302233030
54112241203233400
6135421553330140
712252034331310
oct1710573625714
9412543837366
10130022321100
1150162235321
1221248266950
13c3516bb599
146416439b40
1535aecc22a0
hex1e45ef2bcc

130022321100 has 144 divisors (see below), whose sum is σ = 434373531648. Its totient is φ = 29412956160.

The previous prime is 130022321081. The next prime is 130022321101. The reversal of 130022321100 is 1123220031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130022321100.

It is not an unprimeable number, because it can be changed into a prime (130022321101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115452 + ... + 522851.

Almost surely, 2130022321100 is an apocalyptic number.

130022321100 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 130022321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217186765824).

130022321100 is an abundant number, since it is smaller than the sum of its proper divisors (304351210548).

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

130022321100 is a wasteful number, since it uses less digits than its factorization.

130022321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638424 (or 638417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130022321100 its reverse (1123220031), we get a palindrome (131145541131).

The spelling of 130022321100 in words is "one hundred thirty billion, twenty-two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 97 100 105 140 150 175 194 210 291 300 350 388 420 485 525 582 679 700 970 1050 1164 1358 1455 1940 2037 2100 2425 2716 2910 3395 4074 4850 5820 6790 7275 8148 9700 10185 13580 14550 16975 20370 29100 33950 40740 50925 67900 101850 203700 638303 1276606 1914909 2553212 3191515 3829818 4468121 6383030 7659636 8936242 9574545 12766060 13404363 15957575 17872484 19149090 22340605 26808726 31915150 38298180 44681210 47872725 53617452 61915391 63830300 67021815 89362420 95745450 111703025 123830782 134043630 185746173 191490900 223406050 247661564 268087260 309576955 335109075 371492346 433407737 446812100 619153910 670218150 742984692 866815474 928730865 1238307820 1300223211 1340436300 1547884775 1733630948 1857461730 2167038685 2600446422 3095769550 3714923460 4334077370 4643654325 5200892844 6191539100 6501116055 8668154740 9287308650 10835193425 13002232110 18574617300 21670386850 26004464220 32505580275 43340773700 65011160550 130022321100