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100806377243 = 111310124128961
BaseRepresentation
bin101110111100010000…
…1110011111100011011
3100122012100222112212112
41131320201303330123
53122422413032433
6114150530302535
710166035032365
oct1357041637433
9318170875775
10100806377243
113982a632280
1217653a27a4b
1396768b6240
144c441a9d35
15294ee21348
hex1778873f1b

100806377243 has 32 divisors (see below), whose sum is σ = 120102865344. Its totient is φ = 83404800000.

The previous prime is 100806377209. The next prime is 100806377261. The reversal of 100806377243 is 342773608001.

It is a cyclic number.

It is not a de Polignac number, because 100806377243 - 222 = 100802182939 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 100806377243.

It is not an unprimeable number, because it can be changed into a prime (100806377263) 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, 3466283 + ... + 3495243.

It is an arithmetic number, because the mean of its divisors is an integer number (3753214542).

Almost surely, 2100806377243 is an apocalyptic number.

100806377243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100806377243 is a deficient number, since it is larger than the sum of its proper divisors (19296488101).

100806377243 is a wasteful number, since it uses less digits than its factorization.

100806377243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29327.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 100806377243 in words is "one hundred billion, eight hundred six million, three hundred seventy-seven thousand, two hundred forty-three".

Divisors: 1 11 13 101 143 241 1111 1313 2651 3133 14443 24341 28961 34463 267751 316433 318571 376493 2925061 3480763 4141423 6979601 32175671 38025793 76775611 90734813 418283723 704939701 998082943 7754336711 9164216113 100806377243