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21123541545400 = 2352722393715801
BaseRepresentation
bin1001100110110001101010…
…01100001011000110111000
32202210101112221002200121101
410303120311030023012320
510232042003113423100
6112532004312421144
74310061023415400
oct463306514130670
982711487080541
1021123541545400
116804497570578
122451a733a77b4
13ba2c313bb318
14530556101800
1526971246986a
hex13363530b1b8

21123541545400 has 144 divisors (see below), whose sum is σ = 59614495968240. Its totient is φ = 6927471936000.

The previous prime is 21123541545391. The next prime is 21123541545487. The reversal of 21123541545400 is 454514532112.

It is a super-2 number, since 2×211235415454002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21123541545400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46632501 + ... + 47083300.

It is an arithmetic number, because the mean of its divisors is an integer number (413989555335).

Almost surely, 221123541545400 is an apocalyptic number.

21123541545400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123541545400 is an abundant number, since it is smaller than the sum of its proper divisors (38490954422840).

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

21123541545400 is a wasteful number, since it uses less digits than its factorization.

21123541545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93715854 (or 93715838 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 21123541545400 in words is "twenty-one trillion, one hundred twenty-three billion, five hundred forty-one million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1225 1288 1400 1610 1960 2254 2300 2450 3220 4025 4508 4600 4900 5635 6440 8050 9016 9800 11270 16100 22540 28175 32200 45080 56350 112700 225400 93715801 187431602 374863204 468579005 656010607 749726408 937158010 1312021214 1874316020 2155463423 2342895025 2624042428 3280053035 3748632040 4310926846 4592074249 4685790050 5248084856 6560106070 8621853692 9184148498 9371580100 10777317115 13120212140 15088243961 16400265175 17243707384 18368296996 18743160200 21554634230 22960371245 26240424280 30176487922 32800530350 36736593992 43109268460 45920742490 53886585575 60352975844 65601060700 75441219805 86218536920 91841484980 105617707727 107773171150 114801856225 120705951688 131202121400 150882439610 183682969960 211235415454 215546342300 229603712450 301764879220 377206099025 422470830908 431092684600 459207424900 528088538635 603529758440 754412198050 844941661816 918414849800 1056177077270 1508824396100 2112354154540 2640442693175 3017648792200 4224708309080 5280885386350 10561770772700 21123541545400