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20201001211320 = 23356471590116363
BaseRepresentation
bin1001001011111011010011…
…00000000101010110111000
32122112012022111200222212220
410211331221200011112320
510121433122302230240
6110544113431404040
74153321433103216
oct445755140052670
978465274628786
1020201001211320
1164892185aa106
12232310a523620
13b36c3bb75537
144dba3b2c3cb6
1525071b17a5d0
hex125f698055b8

20201001211320 has 128 divisors (see below), whose sum is σ = 60704198115840. Its totient is φ = 5377940697600.

The previous prime is 20201001211267. The next prime is 20201001211333. The reversal of 20201001211320 is 2311210010202.

It is a super-2 number, since 2×202010012113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201001211320.

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, 1234545459 + ... + 1234561821.

It is an arithmetic number, because the mean of its divisors is an integer number (474251547780).

Almost surely, 220201001211320 is an apocalyptic number.

20201001211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201001211320 is an abundant number, since it is smaller than the sum of its proper divisors (40503196904520).

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

20201001211320 is a wasteful number, since it uses less digits than its factorization.

20201001211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32925 (or 32921 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20201001211320 its reverse (2311210010202), we get a palindrome (22512211221522).

The spelling of 20201001211320 in words is "twenty trillion, two hundred one billion, one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 12940 15528 15901 16363 19410 25880 31802 32726 38820 47703 49089 63604 65452 77640 79505 81815 95406 98178 127208 130904 159010 163630 190812 196356 238515 245445 318020 327260 381624 392712 477030 490890 636040 654520 954060 981780 1908120 1963560 10287947 10586861 20575894 21173722 30863841 31760583 41151788 42347444 51439735 52934305 61727682 63521166 82303576 84694888 102879470 105868610 123455364 127042332 154319205 158802915 205758940 211737220 246910728 254084664 260188063 308638410 317605830 411517880 423474440 520376126 617276820 635211660 780564189 1040752252 1234553640 1270423320 1300940315 1561128378 2081504504 2601880630 3122256756 3902820945 5203761260 6244513512 7805641890 10407522520 15611283780 31222567560 168341676761 336683353522 505025030283 673366707044 841708383805 1010050060566 1346733414088 1683416767610 2020100121132 2525125151415 3366833535220 4040200242264 5050250302830 6733667070440 10100500605660 20201001211320