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21122000123432 = 23131724594858411
BaseRepresentation
bin1001100110101110110010…
…10100000111011000101000
32202210020120111122100011212
410303113121110013120220
510232030324012422212
6112531151330412252
74310004565510655
oct463273124073050
982706514570155
1021122000123432
11680387646941a
122451703131088
13ba2a46c55210
1453044b4d8c2c
15269671e8be22
hex1335d9507628

21122000123432 has 64 divisors (see below), whose sum is σ = 45177401505600. Its totient is φ = 9171434327040.

The previous prime is 21122000123407. The next prime is 21122000123461. The reversal of 21122000123432 is 23432100022112.

It is a super-2 number, since 2×211220001234322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122000123398 and 21122000123407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918307 + ... + 6776717.

It is an arithmetic number, because the mean of its divisors is an integer number (705896898525).

Almost surely, 221122000123432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122000123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588700752800).

21122000123432 is an abundant number, since it is smaller than the sum of its proper divisors (24055401382168).

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

21122000123432 is a wasteful number, since it uses less digits than its factorization.

21122000123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860906 (or 4860902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21122000123432 its reverse (23432100022112), we get a palindrome (44554100145544).

The spelling of 21122000123432 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2459 4918 9836 19672 31967 41803 63934 83606 127868 167212 255736 334424 543439 1086878 2173756 4347512 4858411 9716822 19433644 38867288 63159343 82592987 126318686 165185974 252637372 330371948 505274744 660743896 1073708831 2147417662 4294835324 8589670648 11946832649 23893665298 47787330596 95574661192 155308824437 203096155033 310617648874 406192310066 621235297748 812384620132 1242470595496 1624769240264 2640250015429 5280500030858 10561000061716 21122000123432