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10820781012 = 22331591134363
BaseRepresentation
bin10100001001111100…
…00000001111010100
31000221010012122000010
422010332000033110
5134130104443022
64545422520220
7532102056336
oct120476001724
930833178003
1010820781012
114653059a28
12211ba36070
131035a68102
1474917b456
15434e8c50c
hex284f803d4

10820781012 has 96 divisors (see below), whose sum is σ = 26745384960. Its totient is φ = 3400266240.

The previous prime is 10820780989. The next prime is 10820781019. The reversal of 10820781012 is 21018702801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820781019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477943 + ... + 2482305.

It is an arithmetic number, because the mean of its divisors is an integer number (278597760).

Almost surely, 210820781012 is an apocalyptic number.

10820781012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10820781012 is an abundant number, since it is smaller than the sum of its proper divisors (15924603948).

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

10820781012 is a wasteful number, since it uses less digits than its factorization.

10820781012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 10820781012 in words is "ten billion, eight hundred twenty million, seven hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 31 59 62 93 113 118 124 177 186 226 236 339 354 372 452 678 708 1356 1829 3503 3658 4363 5487 6667 7006 7316 8726 10509 10974 13089 13334 14012 17452 20001 21018 21948 26178 26668 40002 42036 52356 80004 135253 206677 257417 270506 405759 413354 493019 514834 541012 620031 772251 811518 826708 986038 1029668 1240062 1479057 1544502 1623036 1972076 2480124 2958114 3089004 5916228 7979927 15283589 15959854 23939781 29088121 30567178 31919708 45850767 47879562 58176242 61134356 87264363 91701534 95759124 116352484 174528726 183403068 349057452 901731751 1803463502 2705195253 3606927004 5410390506 10820781012