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120045102520 = 23571134318803
BaseRepresentation
bin110111111001100111…
…1101110010110111000
3102110212011001001112011
41233303033232112320
53431323021240040
6131051543055304
711446554351430
oct1576317562670
9373764031464
10120045102520
1146a02370332
121b322a41534
13b421649555
145b4b3272c0
1531c8e143ea
hex1bf33ee5b8

120045102520 has 128 divisors (see below), whose sum is σ = 312177162240. Its totient is φ = 40694814720.

The previous prime is 120045102493. The next prime is 120045102533. The reversal of 120045102520 is 25201540021.

It is a junction number, because it is equal to n+sod(n) for n = 120045102491 and 120045102500.

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, 13632439 + ... + 13641241.

It is an arithmetic number, because the mean of its divisors is an integer number (2438884080).

Almost surely, 2120045102520 is an apocalyptic number.

120045102520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120045102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156088581120).

120045102520 is an abundant number, since it is smaller than the sum of its proper divisors (192132059720).

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

120045102520 is a wasteful number, since it uses less digits than its factorization.

120045102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 120045102520 its reverse (25201540021), we get a palindrome (145246642541).

The spelling of 120045102520 in words is "one hundred twenty billion, forty-five million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 431 452 565 791 862 904 1130 1582 1724 2155 2260 3017 3164 3448 3955 4310 4520 6034 6328 7910 8620 8803 12068 15085 15820 17240 17606 24136 30170 31640 35212 44015 48703 60340 61621 70424 88030 97406 120680 123242 176060 194812 243515 246484 308105 340921 352120 389624 487030 492968 616210 681842 974060 994739 1232420 1363684 1704605 1948120 1989478 2464840 2727368 3409210 3794093 3978956 4973695 6818420 6963173 7588186 7957912 9947390 13636840 13926346 15176372 18970465 19894780 26558651 27852692 30352744 34815865 37940930 39789560 53117302 55705384 69631730 75881860 106234604 132793255 139263460 151763720 212469208 265586510 278526920 428732509 531173020 857465018 1062346040 1714930036 2143662545 3001127563 3429860072 4287325090 6002255126 8574650180 12004510252 15005637815 17149300360 24009020504 30011275630 60022551260 120045102520