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120002022100 = 2252194313910567
BaseRepresentation
bin110111111000010101…
…1011000101011010100
3102110202010222100022001
41233300223120223110
53431231004201400
6131043403445044
711445522233512
oct1576053305324
9373663870261
10120002022100
1146990016384
121b310526784
13b41574488c
145b457114b2
1531c5254a6a
hex1bf0ad8ad4

120002022100 has 144 divisors (see below), whose sum is σ = 282529139200. Its totient is φ = 44093185920.

The previous prime is 120002022073. The next prime is 120002022121. The reversal of 120002022100 is 1220200021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11351017 + ... + 11361583.

Almost surely, 2120002022100 is an apocalyptic number.

120002022100 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 120002022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141264569600).

120002022100 is an abundant number, since it is smaller than the sum of its proper divisors (162527117100).

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

120002022100 is a wasteful number, since it uses less digits than its factorization.

120002022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120002022100 its reverse (1220200021), we get a palindrome (121222222121).

The spelling of 120002022100 in words is "one hundred twenty billion, two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 139 172 190 215 278 380 430 475 556 695 817 860 950 1075 1390 1634 1900 2150 2641 2780 3268 3475 4085 4300 5282 5977 6950 8170 10564 10567 11954 13205 13900 16340 20425 21134 23908 26410 29885 40850 42268 52820 52835 59770 66025 81700 105670 113563 119540 132050 149425 200773 211340 227126 264100 264175 298850 401546 454252 454381 528350 567815 597700 803092 908762 1003865 1056700 1135630 1468813 1817524 2007730 2271260 2271905 2839075 2937626 4015460 4543810 5019325 5678150 5875252 7344065 8633239 9087620 10038650 11356300 11359525 14688130 17266478 20077300 22719050 27907447 29376260 34532956 36720325 43166195 45438100 55814894 63158959 73440650 86332390 111629788 126317918 139537235 146881300 172664780 215830975 252635836 279074470 315794795 431661950 558148940 631589590 697686175 863323900 1200020221 1263179180 1395372350 1578973975 2400040442 2790744700 3157947950 4800080884 6000101105 6315895900 12000202210 24000404420 30000505525 60001011050 120002022100