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120110010010998 = 23722415213253697
BaseRepresentation
bin11011010011110101001010…
…011110110000110101110110
3120202021101221010000121211020
4123103311022132300311312
5111220340300030322443
61103241435445122010
734204443005641200
oct3323651236606566
9522241833017736
10120110010010998
11352a8407431777
121157a15b3b9306
13520342ca20437
1421934d96db770
15dd450c579583
hex6d3d4a7b0d76

120110010010998 has 96 divisors (see below), whose sum is σ = 281137779967968. Its totient is φ = 34109145907200.

The previous prime is 120110010010951. The next prime is 120110010010999. The reversal of 120110010010998 is 899010010011021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110010010999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35288086 + ... + 38541782.

It is an arithmetic number, because the mean of its divisors is an integer number (2928518541333).

Almost surely, 2120110010010998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110010010998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140568889983984).

120110010010998 is an abundant number, since it is smaller than the sum of its proper divisors (161027769956970).

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

120110010010998 is a wasteful number, since it uses less digits than its factorization.

120110010010998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254478 (or 3254471 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 120110010010998 in words is "one hundred twenty trillion, one hundred ten billion, ten million, ten thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 241 294 482 521 723 1042 1446 1563 1687 3126 3374 3647 5061 7294 10122 10941 11809 21882 23618 25529 35427 51058 70854 76587 125561 153174 251122 376683 753366 878927 1757854 2636781 3253697 5273562 6152489 6507394 9761091 12304978 18457467 19522182 22775879 36914934 45551758 68327637 136655274 159431153 318862306 478293459 784140977 956586918 1568281954 1695176137 2352422931 3390352274 4704845862 5085528411 5488986839 10171056822 10977973678 11866232959 16466960517 23732465918 32933921034 35598698877 38422907873 71197397754 76845815746 83063630713 115268723619 166127261426 230537447238 249190892139 408537449017 498381784278 817074898034 1225612347051 2451224694102 2859762143119 5719524286238 8579286429357 17158572858714 20018335001833 40036670003666 60055005005499 120110010010998