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1022211332220 = 2235131627805487
BaseRepresentation
bin11101110000000001000…
…10110001100001111100
310121201111122222000021010
432320000202301201330
5113221442100112340
62101333012235220
7133565230650441
oct16700042614174
93551448860233
101022211332220
11364576714601
1214614060bb10
1375517b41b80
14376922b99c8
151b8cb6dbb80
hexee008b187c

1022211332220 has 96 divisors (see below), whose sum is σ = 3084258659328. Its totient is φ = 251466285312.

The previous prime is 1022211332159. The next prime is 1022211332231. The reversal of 1022211332220 is 222331122201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866317 + ... + 1671803.

It is an arithmetic number, because the mean of its divisors is an integer number (32127694368).

Almost surely, 21022211332220 is an apocalyptic number.

1022211332220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022211332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542129329664).

1022211332220 is an abundant number, since it is smaller than the sum of its proper divisors (2062047327108).

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

1022211332220 is a wasteful number, since it uses less digits than its factorization.

1022211332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807139 (or 807137 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1022211332220 its reverse (222331122201), we get a palindrome (1244542454421).

The spelling of 1022211332220 in words is "one trillion, twenty-two billion, two hundred eleven million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1627 3254 4881 6508 8135 9762 16270 19524 21151 24405 32540 42302 48810 63453 84604 97620 105755 126906 211510 253812 317265 423020 634530 805487 1269060 1610974 2416461 3221948 4027435 4832922 8054870 9665844 10471331 12082305 16109740 20942662 24164610 31413993 41885324 48329220 52356655 62827986 104713310 125655972 157069965 209426620 314139930 628279860 1310527349 2621054698 3931582047 5242109396 6552636745 7863164094 13105273490 15726328188 17036855537 19657910235 26210546980 34073711074 39315820470 51110566611 68147422148 78631640940 85184277685 102221133222 170368555370 204442266444 255552833055 340737110740 511105666110 1022211332220