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10011002220120 = 2335117584092591
BaseRepresentation
bin1001000110101101111000…
…1110110010111001011000
31022110001010221211221111110
42101223132032302321120
52303010013032020440
633142554012500320
72052161652564636
oct221533616627130
938401127757443
1010011002220120
11320a707848920
12115824847a6a0
1357805867c545
1426876c41a356
15125620cc0080
hex91ade3b2e58

10011002220120 has 64 divisors (see below), whose sum is σ = 32763279997440. Its totient is φ = 2426909628800.

The previous prime is 10011002220019. The next prime is 10011002220133. The reversal of 10011002220120 is 2102220011001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011002220096 and 10011002220105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3792044976 + ... + 3792047615.

It is an arithmetic number, because the mean of its divisors is an integer number (511926249960).

Almost surely, 210011002220120 is an apocalyptic number.

10011002220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011002220120 is an abundant number, since it is smaller than the sum of its proper divisors (22752277777320).

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

10011002220120 is a wasteful number, since it uses less digits than its factorization.

10011002220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584092616 (or 7584092612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10011002220120 its reverse (2102220011001), we get a palindrome (12113222231121).

The spelling of 10011002220120 in words is "ten trillion, eleven billion, two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7584092591 15168185182 22752277773 30336370364 37920462955 45504555546 60672740728 75840925910 83425018501 91009111092 113761388865 151681851820 166850037002 182018222184 227522777730 250275055503 303363703640 333700074004 417125092505 455045555460 500550111006 667400148008 834250185010 910091110920 1001100222012 1251375277515 1668500370020 2002200444024 2502750555030 3337000740040 5005501110060 10011002220120