Search a number
-
+
130200204133100 = 22525966733307033
BaseRepresentation
bin11101100110101010011000…
…111010101100001011101100
3122002000000111002102000020102
4131212222120322230023230
5114031200004224224400
61140525051551210232
736265440301565633
oct3546523072541354
9562000432360212
10130200204133100
1138538661a14672
1212729808b16978
135785a98c7797a
142421a1b41a51a
15100bc158e19d5
hex766a98eac2ec

130200204133100 has 72 divisors (see below), whose sum is σ = 287366306806320. Its totient is φ = 51189680609280.

The previous prime is 130200204133039. The next prime is 130200204133117. The reversal of 130200204133100 is 1331402002031.

It is a super-3 number, since 3×1302002041331003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 37717184 + ... + 41024216.

Almost surely, 2130200204133100 is an apocalyptic number.

130200204133100 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 130200204133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143683153403160).

130200204133100 is an abundant number, since it is smaller than the sum of its proper divisors (157166102673220).

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

130200204133100 is a wasteful number, since it uses less digits than its factorization.

130200204133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313779 (or 3313772 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130200204133100 its reverse (1331402002031), we get a palindrome (131531606135131).

The spelling of 130200204133100 in words is "one hundred thirty trillion, two hundred billion, two hundred four million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 6673 13346 26692 33365 66730 133460 166825 333650 393707 667300 787414 1574828 1968535 3307033 3937070 6614066 7874140 9842675 13228132 16535165 19685350 33070330 39370700 66140660 82675825 165351650 195114947 330703300 390229894 780459788 975574735 1951149470 3902298940 4877873675 9755747350 19511494700 22067831209 44135662418 88271324836 110339156045 220678312090 441356624180 551695780225 1103391560450 1302002041331 2206783120900 2604004082662 5208008165324 6510010206655 13020020413310 26040040826620 32550051033275 65100102066550 130200204133100