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106424336033430 = 23517712939086883
BaseRepresentation
bin11000001100101011011000…
…101111101010011010010110
3111221211001210221222001002020
4120030223120233222122112
5102422124020011032210
61014202355351354010
731262622154342302
oct3014533057523226
9457731727861066
10106424336033430
1130a0134223a048
12bb298ba982906
13474ca0591644c
141c3cd72cb2d02
15c4851b8bc770
hex60cad8bea696

106424336033430 has 64 divisors (see below), whose sum is σ = 274252075319808. Its totient is φ = 26334218462720.

The previous prime is 106424336033387. The next prime is 106424336033441. The reversal of 106424336033430 is 34330633424601.

It is a super-2 number, since 2×1064243360334302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1469507232 + ... + 1469579651.

It is an arithmetic number, because the mean of its divisors is an integer number (4285188676872).

Almost surely, 2106424336033430 is an apocalyptic number.

106424336033430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106424336033430 is an abundant number, since it is smaller than the sum of its proper divisors (167827739286378).

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

106424336033430 is a wasteful number, since it uses less digits than its factorization.

106424336033430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939086981.

The product of its (nonzero) digits is 1119744, while the sum is 42.

The spelling of 106424336033430 in words is "one hundred six trillion, four hundred twenty-four billion, three hundred thirty-six million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 2130 2414 3621 6035 7242 12070 18105 36210 2939086883 5878173766 8817260649 14695434415 17634521298 29390868830 44086303245 49964477011 88172606490 99928954022 149893431033 208675168693 249822385055 299786862066 417350337386 499644770110 626025506079 749467155165 1043375843465 1252051012158 1498934310330 2086751686930 3130127530395 3547477867781 6260255060790 7094955735562 10642433603343 17737389338905 21284867206686 35474778677810 53212168016715 106424336033430