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132211111010220 = 2232511155114304899
BaseRepresentation
bin11110000011111011001100…
…010011101001111110101100
3122100010020222122110121212100
4132003323030103221332230
5114312121323404311340
61145104540152335100
736563636403166404
oct3603731423517654
9570106878417770
10132211111010220
1139143465479690
12129b34956a4490
1358a05ba060188
1424910a2659804
1510441ab1b6830
hex783ecc4e9fac

132211111010220 has 144 divisors (see below), whose sum is σ = 437526892857600. Its totient is φ = 32049104630400.

The previous prime is 132211111010219. The next prime is 132211111010269. The reversal of 132211111010220 is 22010111112231.

It is a happy number.

132211111010220 is a `hidden beast` number, since 1 + 322 + 1 + 1 + 1 + 110 + 10 + 220 = 666.

It is a super-2 number, since 2×1322111110102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132211111010193 and 132211111010202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28559331 + ... + 32864229.

It is an arithmetic number, because the mean of its divisors is an integer number (3038381200400).

Almost surely, 2132211111010220 is an apocalyptic number.

132211111010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211111010220 is an abundant number, since it is smaller than the sum of its proper divisors (305315781847380).

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

132211111010220 is a wasteful number, since it uses less digits than its factorization.

132211111010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320436 (or 4320431 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 132211111010220 its reverse (22010111112231), we get a palindrome (154221222122451).

The spelling of 132211111010220 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15511 31022 46533 62044 77555 93066 139599 155110 170621 186132 232665 279198 310220 341242 465330 511863 558396 682484 697995 853105 930660 1023726 1395990 1535589 1706210 2047452 2559315 2791980 3071178 3412420 4304899 5118630 6142356 7677945 8609798 10237260 12914697 15355890 17219596 21524495 25829394 30711780 38744091 43048990 47353889 51658788 64573485 77488182 86097980 94707778 129146970 142061667 154976364 189415556 193720455 236769445 258293940 284123334 387440910 426185001 473538890 568246668 710308335 774881820 852370002 947077780 1420616670 1704740004 2130925005 2841233340 4261850010 8523700020 66773288389 133546576778 200319865167 267093153556 333866441945 400639730334 600959595501 667732883890 734506172279 801279460668 1001599325835 1201919191002 1335465767780 1469012344558 2003198651670 2203518516837 2403838382004 2938024689116 3004797977505 3672530861395 4006397303340 4407037033674 6009595955010 6610555550511 7345061722790 8814074067348 11017592584185 12019191910020 13221111101022 14690123445580 22035185168370 26442222202044 33052777752555 44070370336740 66105555505110 132211111010220