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21213415164120 = 23352312107634841
BaseRepresentation
bin1001101001011001000100…
…00100110100100011011000
32210002222112101011120012120
410310230202010310203120
510240030033240222440
6113041150340141240
74316422126522404
oct464544204644330
983088471146176
1021213415164120
116839616911523
122467375997820
13bab554c90c7a
14534a40302104
1526bc2267edd0
hex134b221348d8

21213415164120 has 128 divisors (see below), whose sum is σ = 66412802327040. Its totient is φ = 5410502620160.

The previous prime is 21213415164047. The next prime is 21213415164121. The reversal of 21213415164120 is 2146151431212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213415164121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33097900 + ... + 33732740.

It is an arithmetic number, because the mean of its divisors is an integer number (518850018180).

Almost surely, 221213415164120 is an apocalyptic number.

21213415164120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213415164120 is an abundant number, since it is smaller than the sum of its proper divisors (45199387162920).

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

21213415164120 is a wasteful number, since it uses less digits than its factorization.

21213415164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646985 (or 646981 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 21213415164120 its reverse (2146151431212), we get a palindrome (23359566595332).

The spelling of 21213415164120 in words is "twenty-one trillion, two hundred thirteen billion, four hundred fifteen million, one hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 12107 24214 36321 48428 60535 72642 96856 121070 145284 181605 242140 278461 290568 363210 484280 556922 634841 726420 835383 1113844 1269682 1392305 1452840 1670766 1904523 2227688 2539364 2784610 3174205 3341532 3809046 4176915 5078728 5569220 6348410 6683064 7618092 8353830 9522615 11138440 12696820 14601343 15236184 16707660 19045230 25393640 29202686 33415320 38090460 43804029 58405372 73006715 76180920 87608058 116810744 146013430 175216116 219020145 292026860 350432232 438040290 584053720 876080580 1752161160 7686019987 15372039974 23058059961 30744079948 38430099935 46116119922 61488159896 76860199870 92232239844 115290299805 153720399740 176778459701 184464479688 230580599610 307440799480 353556919402 461161199220 530335379103 707113838804 883892298505 922322398440 1060670758206 1414227677608 1767784597010 2121341516412 2651676895515 3535569194020 4242683032824 5303353791030 7071138388040 10606707582060 21213415164120