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153024320020 = 2251113192816053
BaseRepresentation
bin1000111010000011110…
…1011101001000010100
3112121222112020220000011
42032200331131020110
510001343211220040
6154144242130004
714025041154535
oct2164075351024
9477875226004
10153024320020
115999626a590
12257a7650904
1311578cca530
1475992c868c
153ea93793ea
hex23a0f5d214

153024320020 has 96 divisors (see below), whose sum is σ = 397401540480. Its totient is φ = 48661378560.

The previous prime is 153024320017. The next prime is 153024320027. The reversal of 153024320020 is 20023420351.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 153024319973 and 153024320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153024320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353687 + ... + 1462366.

It is an arithmetic number, because the mean of its divisors is an integer number (4139599380).

Almost surely, 2153024320020 is an apocalyptic number.

153024320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153024320020 is an abundant number, since it is smaller than the sum of its proper divisors (244377220460).

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

153024320020 is a wasteful number, since it uses less digits than its factorization.

153024320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816105 (or 2816103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 153024320020 its reverse (20023420351), we get a palindrome (173047740371).

The spelling of 153024320020 in words is "one hundred fifty-three billion, twenty-four million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 2816053 5632106 11264212 14080265 28160530 30976583 36608689 53505007 56321060 61953166 73217378 107010014 123906332 146434756 154882915 183043445 214020028 267525035 309765830 366086890 402695579 535050070 588555077 619531660 695565091 732173780 805391158 1070100140 1177110154 1391130182 1610782316 2013477895 2354220308 2782260364 2942775385 3477825455 4026955790 5885550770 6955650910 7651216001 8053911580 11771101540 13911301820 15302432002 30604864004 38256080005 76512160010 153024320020