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20130010032 = 24311891273373
BaseRepresentation
bin10010101111110101…
…111001001110110000
31220221220011110111010
4102233311321032300
5312211240310112
613125251550520
71311561155616
oct225765711660
956856143433
1020130010032
11859a958530
123a995bb440
131b8a5c7b52
14d8d6896b6
157cc39c63c
hex4afd793b0

20130010032 has 160 divisors (see below), whose sum is σ = 57836298240. Its totient is φ = 5982197760.

The previous prime is 20130010013. The next prime is 20130010051. The reversal of 20130010032 is 23001003102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20130010013) and next prime (20130010051).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5966298 + ... + 5969670.

It is an arithmetic number, because the mean of its divisors is an integer number (361476864).

Almost surely, 220130010032 is an apocalyptic number.

20130010032 is a gapful number since it is divisible by the number (22) 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 20130010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28918149120).

20130010032 is an abundant number, since it is smaller than the sum of its proper divisors (37706288208).

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

20130010032 is a wasteful number, since it uses less digits than its factorization.

20130010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20130010032 its reverse (23001003102), we get a palindrome (43131013134).

The spelling of 20130010032 in words is "twenty billion, one hundred thirty million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 127 132 176 178 254 264 267 356 381 508 528 534 712 762 979 1016 1068 1397 1424 1524 1958 2032 2136 2794 2937 3048 3373 3916 4191 4272 5588 5874 6096 6746 7832 8382 10119 11176 11303 11748 13492 15664 16764 20238 22352 22606 23496 26984 33528 33909 37103 40476 45212 46992 53968 67056 67818 74206 80952 90424 111309 124333 135636 148412 161904 180848 222618 248666 271272 296824 300197 372999 428371 445236 497332 542544 593648 600394 745998 856742 890472 900591 994664 1200788 1285113 1491996 1713484 1780944 1801182 1989328 2401576 2570226 2983992 3302167 3426968 3602364 4712081 4803152 5140452 5967984 6604334 6853936 7204728 9424162 9906501 10280904 13208668 14136243 14409456 18848324 19813002 20561808 26417336 28272486 37696648 38125019 39626004 52834672 56544972 75393296 76250038 79252008 113089944 114375057 152500076 158504016 226179888 228750114 305000152 419375209 457500228 610000304 838750418 915000456 1258125627 1677500836 1830000912 2516251254 3355001672 5032502508 6710003344 10065005016 20130010032