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145524222120 = 233517531345951
BaseRepresentation
bin1000011110000111101…
…0110110100010101000
3111220121211111102212110
42013201322312202220
54341013200101440
6150504121042320
713341140323104
oct2074172664250
9456554442773
10145524222120
11567976a1a72
12242539263a0
1310952206a94
14708718c904
153bbabc8080
hex21e1eb68a8

145524222120 has 128 divisors (see below), whose sum is σ = 470975523840. Its totient is φ = 35834572800.

The previous prime is 145524222089. The next prime is 145524222127. The reversal of 145524222120 is 21222425541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145524222127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564856 + ... + 781095.

It is an arithmetic number, because the mean of its divisors is an integer number (3679496280).

Almost surely, 2145524222120 is an apocalyptic number.

145524222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145524222120 is an abundant number, since it is smaller than the sum of its proper divisors (325451301720).

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

145524222120 is a wasteful number, since it uses less digits than its factorization.

145524222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346035 (or 1346031 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 145524222120 its reverse (21222425541), we get a palindrome (166746647661).

The spelling of 145524222120 in words is "one hundred forty-five billion, five hundred twenty-four million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1802 2040 2120 2703 3180 3604 4505 5406 6360 7208 9010 10812 13515 18020 21624 27030 36040 54060 108120 1345951 2691902 4037853 5383804 6729755 8075706 10767608 13459510 16151412 20189265 22881167 26919020 32302824 40378530 45762334 53838040 68643501 71335403 80757060 91524668 114405835 137287002 142670806 161514120 183049336 214006209 228811670 274574004 285341612 343217505 356677015 428012418 457623340 549148008 570683224 686435010 713354030 856024836 915246680 1070031045 1212701851 1372870020 1426708060 1712049672 2140062090 2425403702 2745740040 2853416120 3638105553 4280124180 4850807404 6063509255 7276211106 8560248360 9701614808 12127018510 14552422212 18190527765 24254037020 29104844424 36381055530 48508074040 72762111060 145524222120