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211320031223240 = 23597353997154753
BaseRepresentation
bin110000000011000111000111…
…011001010001110111001000
31000201012222221022111100002222
4300003013013121101313020
5210144231410443120430
62025235025424513212
762340240241152332
oct6003070731216710
91021188838440088
10211320031223240
116137335a584005
121b84b2a2a7b808
1390bb5164cc144
143a27d307d0452
151966dbb78e9e5
hexc031c7651dc8

211320031223240 has 128 divisors (see below), whose sum is σ = 482218948481760. Its totient is φ = 83335393050624.

The previous prime is 211320031223233. The next prime is 211320031223263. The reversal of 211320031223240 is 42322130023112.

It can be written as a sum of positive squares in 16 ways, for example, as 100149535860676 + 111170495362564 = 10007474^2 + 10543742^2 .

It is a super-2 number, since 2×2113200312232402 (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, 1365453704 + ... + 1365608456.

Almost surely, 2211320031223240 is an apocalyptic number.

211320031223240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320031223240 is an abundant number, since it is smaller than the sum of its proper divisors (270898917258520).

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

211320031223240 is a wasteful number, since it uses less digits than its factorization.

211320031223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156211 (or 156207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 211320031223240 its reverse (42322130023112), we get a palindrome (253642161246352).

The spelling of 211320031223240 in words is "two hundred eleven trillion, three hundred twenty billion, thirty-one million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 353 388 485 706 776 970 997 1412 1765 1940 1994 2824 3530 3880 3988 4985 7060 7976 9970 14120 19940 34241 39880 68482 96709 136964 154753 171205 193418 273928 309506 342410 351941 386836 483545 619012 684820 703882 773672 773765 967090 1238024 1369640 1407764 1547530 1759705 1934180 2815528 3095060 3519410 3868360 6190120 7038820 14077640 15011041 30022082 34138277 54627809 60044164 68276554 75055205 109255618 120088328 136553108 150110410 154288741 170691385 218511236 273106216 273139045 300220820 308577482 341382770 437022472 546278090 600441640 617154964 682765540 771443705 1092556180 1234309928 1365531080 1542887410 2185112360 3085774820 5298897473 6171549640 10597794946 14966007877 21195589892 26494487365 29932015754 42391179784 52988974730 54463925573 59864031508 74830039385 105977949460 108927851146 119728063016 149660078770 211955898920 217855702292 272319627865 299320157540 435711404584 544639255730 598640315080 1089278511460 2178557022920 5283000780581 10566001561162 21132003122324 26415003902905 42264006244648 52830007805810 105660015611620 211320031223240