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211220013301320 = 23356793728037509
BaseRepresentation
bin110000000001101001111101…
…110111001011111001001000
31000200212102202220010110121110
4300001221331313023321020
5210141112041401120240
62025121045021410320
762330066555641332
oct6001517567137110
91020772686113543
10211220013301320
11613349a5017a01
121b833a2b1099a0
1390b1c6708611a
143a23163226452
1519644b5bb4c80
hexc01a7ddcbe48

211220013301320 has 128 divisors (see below), whose sum is σ = 643804033622400. Its totient is φ = 55425443014656.

The previous prime is 211220013301181. The next prime is 211220013301333. The reversal of 211220013301320 is 23103310022112.

211220013301320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112200133013202 (a number of 29 digits) contains 22 as substring.

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, 6485275 + ... + 21552234.

It is an arithmetic number, because the mean of its divisors is an integer number (5029719012675).

Almost surely, 2211220013301320 is an apocalyptic number.

211220013301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220013301320 is an abundant number, since it is smaller than the sum of its proper divisors (432584020321080).

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

211220013301320 is a wasteful number, since it uses less digits than its factorization.

211220013301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28038527 (or 28038523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211220013301320 its reverse (23103310022112), we get a palindrome (234323323323432).

The spelling of 211220013301320 in words is "two hundred eleven trillion, two hundred twenty billion, thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 937 1005 1340 1608 1874 2010 2680 2811 3748 4020 4685 5622 7496 8040 9370 11244 14055 18740 22488 28110 37480 56220 62779 112440 125558 188337 251116 313895 376674 502232 627790 753348 941685 1255580 1506696 1883370 2511160 3766740 7533480 28037509 56075018 84112527 112150036 140187545 168225054 224300072 280375090 336450108 420562635 560750180 672900216 841125270 1121500360 1682250540 1878513103 3364501080 3757026206 5635539309 7514052412 9392565515 11271078618 15028104824 18785131030 22542157236 26271145933 28177696545 37570262060 45084314472 52542291866 56355393090 75140524120 78813437799 105084583732 112710786180 131355729665 157626875598 210169167464 225421572360 262711459330 315253751196 394067188995 525422918660 630507502392 788134377990 1050845837320 1576268755980 1760166777511 3152537511960 3520333555022 5280500332533 7040667110044 8800833887555 10561000665066 14081334220088 17601667775110 21122001330132 26402501662665 35203335550220 42244002660264 52805003325330 70406671100440 105610006650660 211220013301320