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22132111210040 = 23513119533560759
BaseRepresentation
bin1010000100001000010001…
…01000000111011000111000
32220100210211212212011222002
411002010020220013120320
510400103030432210130
6115023203532520132
74442664230210426
oct502041050073070
986323755764862
1022132111210040
1170631a2882337
122595427320048
13c47083c34030
145672b2740116
15285a91205b45
hex142108a07638

22132111210040 has 64 divisors (see below), whose sum is σ = 53632309550400. Its totient is φ = 8171170486272.

The previous prime is 22132111209947. The next prime is 22132111210163. The reversal of 22132111210040 is 4001211123122.

It is a super-2 number, since 2×221321112100402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22132111209994 and 22132111210021.

It is a congruent number.

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, 4435181 + ... + 7995939.

It is an arithmetic number, because the mean of its divisors is an integer number (838004836725).

Almost surely, 222132111210040 is an apocalyptic number.

22132111210040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132111210040 is an abundant number, since it is smaller than the sum of its proper divisors (31500198340360).

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

22132111210040 is a wasteful number, since it uses less digits than its factorization.

22132111210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572736 (or 3572732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22132111210040 its reverse (4001211123122), we get a palindrome (26133322333162).

The spelling of 22132111210040 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred eleven million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 11953 23906 47812 59765 95624 119530 155389 239060 310778 478120 621556 776945 1243112 1553890 3107780 3560759 6215560 7121518 14243036 17803795 28486072 35607590 46289867 71215180 92579734 142430360 185159468 231449335 370318936 462898670 925797340 1851594680 42561752327 85123504654 170247009308 212808761635 340494018616 425617523270 553302780251 851235046540 1106605560502 1702470093080 2213211121004 2766513901255 4426422242008 5533027802510 11066055605020 22132111210040