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1012102021110 = 235239386336541
BaseRepresentation
bin11101011101001011111…
…10110011111111110110
310120202102010111210111010
432232211332303333312
5113040241104133420
62052541522453050
7133056555143265
oct16564576637766
93522363453433
101012102021110
11360259229534
1214419ab04186
1374596600a8b
1436db38205dc
151b4d8e3a4e0
hexeba5fb3ff6

1012102021110 has 64 divisors (see below), whose sum is σ = 2439906416640. Its totient is φ = 268687681920.

The previous prime is 1012102021103. The next prime is 1012102021111. The reversal of 1012102021110 is 111202012101.

It is a super-2 number, since 2×10121020211102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102021111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27679440 + ... + 27715980.

It is an arithmetic number, because the mean of its divisors is an integer number (38123537760).

Almost surely, 21012102021110 is an apocalyptic number.

1012102021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012102021110 is an abundant number, since it is smaller than the sum of its proper divisors (1427804395530).

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

1012102021110 is a wasteful number, since it uses less digits than its factorization.

1012102021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40653.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012102021110 its reverse (111202012101), we get a palindrome (1123304033211).

Subtracting from 1012102021110 its reverse (111202012101), we obtain a palindrome (900900009009).

The spelling of 1012102021110 in words is "one trillion, twelve billion, one hundred two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 239 478 717 1195 1434 2390 3585 3863 7170 7726 11589 19315 23178 36541 38630 57945 73082 109623 115890 182705 219246 365410 548115 923257 1096230 1846514 2769771 4616285 5539542 8733299 9232570 13848855 17466598 26199897 27697710 43666495 52399794 87332990 130999485 141157883 261998970 282315766 423473649 705789415 846947298 1411578830 2117368245 4234736490 33736734037 67473468074 101210202111 168683670185 202420404222 337367340370 506051010555 1012102021110