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120040045100 = 22522964763977
BaseRepresentation
bin110111111001011110…
…0011011101000101100
3102110211210112010001022
41233302330123220230
53431320222420400
6131051242433312
711446463355653
oct1576274335054
9373753463038
10120040045100
11469aa526648
121b321202838
13b4205985b1
145b4a7ac19a
1531c8765b85
hex1bf2f1ba2c

120040045100 has 72 divisors (see below), whose sum is σ = 269889913440. Its totient is φ = 46287915520.

The previous prime is 120040045079. The next prime is 120040045121. The reversal of 120040045100 is 1540040021.

It is an interprime number because it is at equal distance from previous prime (120040045079) and next prime (120040045121).

It is a super-2 number, since 2×1200400451002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844312 + ... + 1908288.

It is an arithmetic number, because the mean of its divisors is an integer number (3748471020).

Almost surely, 2120040045100 is an apocalyptic number.

120040045100 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 120040045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134944956720).

120040045100 is an abundant number, since it is smaller than the sum of its proper divisors (149849868340).

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

120040045100 is a wasteful number, since it uses less digits than its factorization.

120040045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64667 (or 64660 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 120040045100 its reverse (1540040021), we get a palindrome (121580085121).

The spelling of 120040045100 in words is "one hundred twenty billion, forty million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 647 725 1294 1450 2588 2900 3235 6470 12940 16175 18763 32350 37526 63977 64700 75052 93815 127954 187630 255908 319885 375260 469075 639770 938150 1279540 1599425 1855333 1876300 3198850 3710666 6397700 7421332 9276665 18553330 37106660 41393119 46383325 82786238 92766650 165572476 185533300 206965595 413931190 827862380 1034827975 1200400451 2069655950 2400800902 4139311900 4801601804 6002002255 12004004510 24008009020 30010011275 60020022550 120040045100