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106835292130 = 25779101918959
BaseRepresentation
bin110001101111111100…
…0010010111111100010
3101012202112110011022111
41203133320102333202
53222244313322010
6121025055025534
710501322666620
oct1433770227742
9335675404274
10106835292130
1141343812266
1218856b0b2aa
13a0c79670b8
145256b84510
152ba436b58a
hex18dfe12fe2

106835292130 has 64 divisors (see below), whose sum is σ = 222787584000. Its totient is φ = 36128184768.

The previous prime is 106835292059. The next prime is 106835292131. The reversal of 106835292130 is 31292538601.

It is a super-2 number, since 2×1068352921302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106835292131) 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, 5625591 + ... + 5644549.

It is an arithmetic number, because the mean of its divisors is an integer number (3481056000).

Almost surely, 2106835292130 is an apocalyptic number.

106835292130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106835292130 is an abundant number, since it is smaller than the sum of its proper divisors (115952291870).

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

106835292130 is a wasteful number, since it uses less digits than its factorization.

106835292130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20071.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 106835292130 in words is "one hundred six billion, eight hundred thirty-five million, two hundred ninety-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 79 158 395 553 790 1019 1106 2038 2765 5095 5530 7133 10190 14266 18959 35665 37918 71330 80501 94795 132713 161002 189590 265426 402505 563507 663565 805010 1127014 1327130 1497761 2817535 2995522 5635070 7488805 10484327 14977610 19319221 20968654 38638442 52421635 96596105 104843270 135234547 193192210 270469094 676172735 1352345470 1526218459 3052436918 7631092295 10683529213 15262184590 21367058426 53417646065 106835292130