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13222153412020 = 22571017611228763
BaseRepresentation
bin1100000001101000010111…
…0000011101110110110100
31201211000200121100010222101
43000122011300131312310
53213112432233141040
644042101243111444
72533161200424430
oct300320560356664
951730617303871
1013222153412020
11423853599a273
121596660512584
1374bac78514c7
14339d543bd9c0
1517de1294009a
hexc0685c1ddb4

13222153412020 has 96 divisors (see below), whose sum is σ = 32089496253696. Its totient is φ = 4482523776000.

The previous prime is 13222153412009. The next prime is 13222153412033. The reversal of 13222153412020 is 2021435122231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13222153412020.

It is a congruent number.

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, 10146159 + ... + 11374921.

It is an arithmetic number, because the mean of its divisors is an integer number (334265585976).

Almost surely, 213222153412020 is an apocalyptic number.

13222153412020 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 13222153412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044748126848).

13222153412020 is an abundant number, since it is smaller than the sum of its proper divisors (18867342841676).

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

13222153412020 is a wasteful number, since it uses less digits than its factorization.

13222153412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229641 (or 1229639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13222153412020 its reverse (2021435122231), we get a palindrome (15243588534251).

The spelling of 13222153412020 in words is "thirteen trillion, two hundred twenty-two billion, one hundred fifty-three million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 761 1010 1414 1522 2020 2828 3044 3535 3805 5327 7070 7610 10654 14140 15220 21308 26635 53270 76861 106540 153722 307444 384305 538027 768610 1076054 1228763 1537220 2152108 2457526 2690135 4915052 5380270 6143815 8601341 10760540 12287630 17202682 24575260 34405364 43006705 86013410 124105063 172026820 248210126 496420252 620525315 868735441 935088643 1241050630 1737470882 1870177286 2482101260 3474941764 3740354572 4343677205 4675443215 6545620501 8687354410 9350886430 13091241002 17374708820 18701772860 26182482004 32728102505 65456205010 94443952943 130912410020 188887905886 377775811772 472219764715 661107670601 944439529430 1322215341202 1888879058860 2644430682404 3305538353005 6611076706010 13222153412020