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10133422080 = 2143541233
BaseRepresentation
bin10010110111111111…
…11100000000000000
3222011012211011210220
421123333330000000
5131223124001310
64353310223040
7506054444415
oct113377740000
928135734726
1010133422080
114330063aa1
121b697b4a80
13c56533752
146c1b7410c
153e4965670
hex25bffc000

10133422080 has 120 divisors (see below), whose sum is σ = 32426747472. Its totient is φ = 2702180352.

The previous prime is 10133422051. The next prime is 10133422099. The reversal of 10133422080 is 8022433101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10133422080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225144 + ... + 266376.

Almost surely, 210133422080 is an apocalyptic number.

10133422080 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 10133422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213373736).

10133422080 is an abundant number, since it is smaller than the sum of its proper divisors (22293325392).

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

10133422080 is an frugal number, since it uses more digits than its factorization.

10133422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41269 (or 41243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10133422080 its reverse (8022433101), we get a palindrome (18155855181).

The spelling of 10133422080 in words is "ten billion, one hundred thirty-three million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 40960 41233 49152 61440 81920 82466 122880 123699 164932 206165 245760 247398 329864 412330 494796 618495 659728 824660 989592 1236990 1319456 1649320 1979184 2473980 2638912 3298640 3958368 4947960 5277824 6597280 7916736 9895920 10555648 13194560 15833472 19791840 21111296 26389120 31666944 39583680 42222592 52778240 63333888 79167360 84445184 105556480 126667776 158334720 168890368 211112960 253335552 316669440 337780736 422225920 506671104 633338880 675561472 844451840 1013342208 1266677760 1688903680 2026684416 2533355520 3377807360 5066711040 10133422080