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10455321205120 = 275111485130853
BaseRepresentation
bin1001100000100101000110…
…1101001101100110000000
31101000112000022102000121011
42120021101231031212000
52332244444212030440
634123035214410304
72126241414623521
oct230112155154600
941015008360534
1010455321205120
113371093283650
12120a389b00994
135aac17aa8a5c
1428207c616848
15131e784349ea
hex98251b4d980

10455321205120 has 64 divisors (see below), whose sum is σ = 27267002479440. Its totient is φ = 3801934981120.

The previous prime is 10455321205057. The next prime is 10455321205183. The reversal of 10455321205120 is 2150212355401.

It is an interprime number because it is at equal distance from previous prime (10455321205057) and next prime (10455321205183).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104553212051202 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 742558387 + ... + 742572466.

Almost surely, 210455321205120 is an apocalyptic number.

10455321205120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10455321205120 is an abundant number, since it is smaller than the sum of its proper divisors (16811681274320).

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

10455321205120 is a wasteful number, since it uses less digits than its factorization.

10455321205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485130883 (or 1485130871 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 10455321205120 in words is "ten trillion, four hundred fifty-five billion, three hundred twenty-one million, two hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1485130853 2970261706 5940523412 7425654265 11881046824 14851308530 16336439383 23762093648 29702617060 32672878766 47524187296 59405234120 65345757532 81682196915 95048374592 118810468240 130691515064 163364393830 190096749184 237620936480 261383030128 326728787660 475241872960 522766060256 653457575320 950483745920 1045532120512 1306915150640 2091064241024 2613830301280 5227660602560 10455321205120