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1102431937146 = 2319113101384481
BaseRepresentation
bin10000000010101110000…
…100000110001001111010
310220101120101011222022220
4100002232010012021322
5121030240033442041
62202241130224510
7142435201565211
oct20025604061172
93811511158286
101102431937146
113955a20a7401
121597aa285136
137cc60896837
143b50247c078
151da24234d66
hex100ae10627a

1102431937146 has 64 divisors (see below), whose sum is σ = 2343787505280. Its totient is φ = 344710840320.

The previous prime is 1102431937133. The next prime is 1102431937171. The reversal of 1102431937146 is 6417391342011.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1102431937098 and 1102431937107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13007226 + ... + 13091706.

It is an arithmetic number, because the mean of its divisors is an integer number (36621679770).

Almost surely, 21102431937146 is an apocalyptic number.

1102431937146 is an abundant number, since it is smaller than the sum of its proper divisors (1241355568134).

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

1102431937146 is a wasteful number, since it uses less digits than its factorization.

1102431937146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85631.

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1102431937146 in words is "one trillion, one hundred two billion, four hundred thirty-one million, nine hundred thirty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 38 57 113 114 226 339 678 1013 2026 2147 3039 4294 6078 6441 12882 19247 38494 57741 84481 114469 115482 168962 228938 253443 343407 506886 686814 1605139 2174911 3210278 4349822 4815417 6524733 9546353 9630834 13049466 19092706 28639059 57278118 85579253 171158506 181380707 256737759 362761414 513475518 544142121 1088284242 1626005807 3252011614 4878017421 9670455589 9756034842 19340911178 29011366767 58022733534 183738656191 367477312382 551215968573 1102431937146