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10320222321312 = 253107502315847
BaseRepresentation
bin1001011000101101110100…
…1011110111101010100000
31100112121022001000122022220
42112023131023313222200
52323041303403240222
633541013352431040
72113416505225641
oct226133513675240
940477261018286
1010320222321312
1133198664a8662
1211a81656a8480
1359b267732c17
14279703ca96c8
1512d6bcb35b5c
hex962dd2f7aa0

10320222321312 has 24 divisors (see below), whose sum is σ = 27090583593696. Its totient is φ = 3440074107072.

The previous prime is 10320222321307. The next prime is 10320222321313. The reversal of 10320222321312 is 21312322202301.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×103202223213122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10320222321313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53751157828 + ... + 53751158019.

It is an arithmetic number, because the mean of its divisors is an integer number (1128774316404).

Almost surely, 210320222321312 is an apocalyptic number.

10320222321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10320222321312 is an abundant number, since it is smaller than the sum of its proper divisors (16770361272384).

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

10320222321312 is a wasteful number, since it uses less digits than its factorization.

10320222321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107502315860 (or 107502315852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10320222321312 its reverse (21312322202301), we get a palindrome (31632544523613).

The spelling of 10320222321312 in words is "ten trillion, three hundred twenty billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107502315847 215004631694 322506947541 430009263388 645013895082 860018526776 1290027790164 1720037053552 2580055580328 3440074107104 5160111160656 10320222321312