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106341292770 = 23529122231371
BaseRepresentation
bin110001100001001101…
…1110101101011100010
3101011111002220101120220
41203002123311223202
53220241332332040
6120504050543510
710453144034346
oct1430233655342
9334432811526
10106341292770
114110a984229
1218739597b96
13a04950339b
14520b311626
152b75cdb2d0
hex18c26f5ae2

106341292770 has 32 divisors (see below), whose sum is σ = 264019763520. Its totient is φ = 27379826880.

The previous prime is 106341292769. The next prime is 106341292801. The reversal of 106341292770 is 77292143601.

It is a super-2 number, since 2×1063412927702 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61114816 + ... + 61116555.

It is an arithmetic number, because the mean of its divisors is an integer number (8250617610).

Almost surely, 2106341292770 is an apocalyptic number.

106341292770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106341292770 is an abundant number, since it is smaller than the sum of its proper divisors (157678470750).

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

106341292770 is a wasteful number, since it uses less digits than its factorization.

106341292770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122231410.

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 106341292770 in words is "one hundred six billion, three hundred forty-one million, two hundred ninety-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 122231371 244462742 366694113 611156855 733388226 1222313710 1833470565 3544709759 3666941130 7089419518 10634129277 17723548795 21268258554 35447097590 53170646385 106341292770