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202420004312120 = 235719104579363829
BaseRepresentation
bin101110000001100110010100…
…011100111101010000111000
3222112201011102010200121220012
4232001212110130331100320
5203012422132100441440
61554302244412321052
760431235256500350
oct5601462434752070
9875634363617805
10202420004312120
11595519293a0291
121a852429a73188
1388c41806b8b5a
1437db275361b60
15186061ec83e65
hexb8199473d438

202420004312120 has 128 divisors (see below), whose sum is σ = 547910516160000. Its totient is φ = 65747643121152.

The previous prime is 202420004312089. The next prime is 202420004312173. The reversal of 202420004312120 is 21213400024202.

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, 556178366 + ... + 556542194.

It is an arithmetic number, because the mean of its divisors is an integer number (4280550907500).

Almost surely, 2202420004312120 is an apocalyptic number.

202420004312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202420004312120 is an abundant number, since it is smaller than the sum of its proper divisors (345490511847880).

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

202420004312120 is a wasteful number, since it uses less digits than its factorization.

202420004312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468445 (or 468441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 202420004312120 its reverse (21213400024202), we get a palindrome (223633404336322).

The spelling of 202420004312120 in words is "two hundred two trillion, four hundred twenty billion, four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 104579 209158 363829 418316 522895 727658 732053 836632 1045790 1455316 1464106 1819145 1987001 2091580 2546803 2910632 2928212 3638290 3660265 3974002 4183160 5093606 5856424 6912751 7276580 7320530 7948004 9935005 10187212 12734015 13825502 13909007 14553160 14641060 15896008 19870010 20374424 25468030 27651004 27818014 29282120 34563755 39740020 48389257 50936060 55302008 55636028 69127510 69545035 79480040 96778514 101872120 111272056 138255020 139090070 193557028 241946285 276510040 278180140 387114056 483892570 556360280 967785140 1935570280 38048872991 76097745982 152195491964 190244364955 266342110937 304390983928 380488729910 532684221874 722928586829 760977459820 1065368443748 1331710554685 1445857173658 1521954919640 2130736887496 2663421109370 2891714347316 3614642934145 5060500107803 5326842218740 5783428694632 7229285868290 10121000215606 10653684437480 14458571736580 20242000431212 25302500539015 28917143473160 40484000862424 50605001078030 101210002156060 202420004312120