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20130451320 = 2335726391121
BaseRepresentation
bin10010101111110111…
…100100111101111000
31220221220222212211010
4102233313210331320
5312211343420240
613125305233520
71311565004310
oct225767447570
956856885733
1020130451320
1185a012a031
123a997928a0
131b8a720975
14d8d762440
157cc438280
hex4afde4f78

20130451320 has 128 divisors (see below), whose sum is σ = 69281879040. Its totient is φ = 4583700480.

The previous prime is 20130451273. The next prime is 20130451343. The reversal of 20130451320 is 2315403102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 175360 + ... + 266480.

It is an arithmetic number, because the mean of its divisors is an integer number (541264680).

Almost surely, 220130451320 is an apocalyptic number.

20130451320 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 20130451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34640939520).

20130451320 is an abundant number, since it is smaller than the sum of its proper divisors (49151427720).

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

20130451320 is a wasteful number, since it uses less digits than its factorization.

20130451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91405 (or 91401 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 20130451320 its reverse (2315403102), we get a palindrome (22445854422).

The spelling of 20130451320 in words is "twenty billion, one hundred thirty million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 263 280 420 526 789 840 1052 1315 1578 1841 2104 2630 3156 3682 3945 5260 5523 6312 7364 7890 9205 10520 11046 14728 15780 18410 22092 27615 31560 36820 44184 55230 73640 91121 110460 182242 220920 273363 364484 455605 546726 637847 728968 911210 1093452 1275694 1366815 1822420 1913541 2186904 2551388 2733630 3189235 3644840 3827082 5102776 5467260 6378470 7654164 9567705 10934520 12756940 15308328 19135410 23964823 25513880 38270820 47929646 71894469 76541640 95859292 119824115 143788938 167753761 191718584 239648230 287577876 335507522 359472345 479296460 503261283 575155752 671015044 718944690 838768805 958592920 1006522566 1342030088 1437889380 1677537610 2013045132 2516306415 2875778760 3355075220 4026090264 5032612830 6710150440 10065225660 20130451320