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120213300040 = 23559167305017
BaseRepresentation
bin110111111110101000…
…1010110001101001000
3102111021212112101010221
41233331101112031020
53432144101100130
6131120352115424
711453666122261
oct1577521261510
9374255471127
10120213300040
1146a89301649
121b36b235b74
13b44a44a302
145b657cb968
1531d8a8a87a
hex1bfd456348

120213300040 has 64 divisors (see below), whose sum is σ = 276712329600. Its totient is φ = 46987104768.

The previous prime is 120213300019. The next prime is 120213300071. The reversal of 120213300040 is 40003312021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120213299987 and 120213300023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241612 + ... + 546628.

It is an arithmetic number, because the mean of its divisors is an integer number (4323630150).

Almost surely, 2120213300040 is an apocalyptic number.

120213300040 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 120213300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138356164800).

120213300040 is an abundant number, since it is smaller than the sum of its proper divisors (156499029560).

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

120213300040 is a wasteful number, since it uses less digits than its factorization.

120213300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305254 (or 305250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120213300040 its reverse (40003312021), we get a palindrome (160216612061).

The spelling of 120213300040 in words is "one hundred twenty billion, two hundred thirteen million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 167 236 295 334 472 590 668 835 1180 1336 1670 2360 3340 6680 9853 19706 39412 49265 78824 98530 197060 305017 394120 610034 1220068 1525085 2440136 3050170 6100340 12200680 17996003 35992006 50937839 71984012 89980015 101875678 143968024 179960030 203751356 254689195 359920060 407502712 509378390 719840120 1018756780 2037513560 3005332501 6010665002 12021330004 15026662505 24042660008 30053325010 60106650020 120213300040