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20135603020 = 225132192411301
BaseRepresentation
bin10010110000001011…
…001110101101001100
31220222021200121121211
4102300023032231030
5312214203244040
613130011504204
71311656541661
oct226013165514
956867617554
1020135603020
1185a3028635
123a9b458064
131b8b805800
14d90303a68
157ccb048ea
hex4b02ceb4c

20135603020 has 144 divisors (see below), whose sum is σ = 48434712480. Its totient is φ = 7008768000.

The previous prime is 20135603003. The next prime is 20135603099. The reversal of 20135603020 is 2030653102.

It is a junction number, because it is equal to n+sod(n) for n = 20135602982 and 20135603000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15476370 + ... + 15477670.

It is an arithmetic number, because the mean of its divisors is an integer number (336352170).

Almost surely, 220135603020 is an apocalyptic number.

20135603020 is a gapful number since it is divisible by the number (20) 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 20135603020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217356240).

20135603020 is an abundant number, since it is smaller than the sum of its proper divisors (28299109460).

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

20135603020 is a wasteful number, since it uses less digits than its factorization.

20135603020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 20135603020 in words is "twenty billion, one hundred thirty-five million, six hundred three thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 241 247 260 338 380 482 494 676 845 964 988 1205 1235 1301 1690 2410 2470 2602 3133 3211 3380 4579 4820 4940 5204 6266 6422 6505 9158 12532 12844 13010 15665 16055 16913 18316 22895 24719 26020 31330 32110 33826 40729 45790 49438 59527 62660 64220 67652 81458 84565 91580 98876 119054 123595 162916 169130 203645 219869 238108 247190 297635 313541 321347 338260 407290 439738 494380 595270 627082 642694 773851 814580 879476 1099345 1190540 1254164 1285388 1547702 1567705 1606735 2198690 3095404 3135410 3213470 3869255 4076033 4177511 4397380 5957279 6270820 6426940 7738510 8152066 8355022 11914558 15477020 16304132 16710044 20380165 20887555 23829116 29786395 40760330 41775110 52988429 59572790 77444627 81520660 83550220 105976858 119145580 154889254 211953716 264942145 309778508 387223135 529884290 774446270 1006780151 1059768580 1548892540 2013560302 4027120604 5033900755 10067801510 20135603020