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10300344012400 = 2452133118163527
BaseRepresentation
bin1001010111100011110001…
…0110001000111001110000
31100110200222200110220212111
42111320330112020321300
52322230101031344100
633523525051335104
72112114061335361
oct225707426107160
940420880426774
1010300344012400
113311395735992
1211a4338451494
1359941a324b60
14278779c1db68
1512ce079066ba
hex95e3c588e70

10300344012400 has 120 divisors (see below), whose sum is σ = 26651433511584. Its totient is φ = 3803022105600.

The previous prime is 10300344012353. The next prime is 10300344012419. The reversal of 10300344012400 is 421044300301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162109437 + ... + 162172963.

Almost surely, 210300344012400 is an apocalyptic number.

10300344012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300344012400 is an abundant number, since it is smaller than the sum of its proper divisors (16351089499184).

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

10300344012400 is a wasteful number, since it uses less digits than its factorization.

10300344012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94739 (or 94728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10300344012400 its reverse (421044300301), we get a palindrome (10721388312701).

The spelling of 10300344012400 in words is "ten trillion, three hundred billion, three hundred forty-four million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 31181 62362 63527 124724 127054 155905 249448 254108 311810 317635 405353 498896 508216 623620 635270 779525 810706 825851 1016432 1247240 1270540 1559050 1588175 1621412 1651702 2026765 2494480 2541080 3118100 3176350 3242824 3303404 4053530 4129255 5082160 6236200 6352700 6485648 6606808 8107060 8258510 10133825 12472400 12705400 13213616 16214120 16517020 20267650 20646275 25410800 32428240 33034040 40535300 41292550 66068080 81070600 82585100 162141200 165170200 330340400 1980835387 3961670774 7923341548 9904176935 15846683096 19808353870 25750860031 31693366192 39616707740 49520884675 51501720062 79233415480 99041769350 103003440124 128754300155 158466830960 198083538700 206006880248 257508600310 396167077400 412013760496 515017200620 643771500775 792334154800 1030034401240 1287543001550 2060068802480 2575086003100 5150172006200 10300344012400