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10023013300104 = 2332740134955627
BaseRepresentation
bin1001000111011010101000…
…1001011011011110001000
31022111012011000211000201200
42101312222021123132020
52303204112401100404
633152301515544200
72053065420226560
oct221665211333610
938435130730650
1010023013300104
113214810788002
12115a63aa5b060
13579220bc336c
1426918b6bdda0
15125ac54cd839
hex91daa25b788

10023013300104 has 96 divisors (see below), whose sum is σ = 31031349635520. Its totient is φ = 2863003897728.

The previous prime is 10023013300073. The next prime is 10023013300141. The reversal of 10023013300104 is 40100331032001.

10023013300104 is a `hidden beast` number, since 1 + 0 + 0 + 230 + 1 + 330 + 0 + 104 = 666.

It is a super-2 number, since 2×100230133001042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 455262 + ... + 4500365.

It is an arithmetic number, because the mean of its divisors is an integer number (323243225370).

Almost surely, 210023013300104 is an apocalyptic number.

10023013300104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10023013300104 is an abundant number, since it is smaller than the sum of its proper divisors (21008336335416).

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

10023013300104 is a wasteful number, since it uses less digits than its factorization.

10023013300104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959659 (or 4959652 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023013300104 its reverse (40100331032001), we get a palindrome (50123344332105).

The spelling of 10023013300104 in words is "ten trillion, twenty-three billion, thirteen million, three hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4013 8026 12039 16052 24078 28091 32104 36117 48156 56182 72234 84273 96312 112364 144468 168546 224728 252819 288936 337092 505638 674184 1011276 2022552 4955627 9911254 14866881 19822508 29733762 34689389 39645016 44600643 59467524 69378778 89201286 104068167 118935048 138757556 178402572 208136334 277515112 312204501 356805144 416272668 624409002 832545336 1248818004 2497636008 19886931151 39773862302 59660793453 79547724604 119321586906 139208518057 159095449208 178982380359 238643173812 278417036114 357964760718 417625554171 477286347624 556834072228 715929521436 835251108342 1113668144456 1252876662513 1431859042872 1670502216684 2505753325026 3341004433368 5011506650052 10023013300104