Search a number
-
+
120022100200 = 23528344916103
BaseRepresentation
bin110111111000111011…
…1111110100011101000
3102110210112202102021101
41233301313332203220
53431301124201300
6131045402051144
711446155006322
oct1576167764350
9373715672241
10120022100200
11469a038a352
121b3171a9ab4
13b419954702
145b4825a612
1531c6dbdb6a
hex1bf1dfe8e8

120022100200 has 96 divisors (see below), whose sum is σ = 283060008000. Its totient is φ = 47321845760.

The previous prime is 120022100167. The next prime is 120022100269. The reversal of 120022100200 is 2001220021.

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

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, 7445349 + ... + 7461451.

It is an arithmetic number, because the mean of its divisors is an integer number (2948541750).

Almost surely, 2120022100200 is an apocalyptic number.

120022100200 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 120022100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141530004000).

120022100200 is an abundant number, since it is smaller than the sum of its proper divisors (163037907800).

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

120022100200 is a wasteful number, since it uses less digits than its factorization.

120022100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16651 (or 16642 counting only the distinct ones).

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

Adding to 120022100200 its reverse (2001220021), we get a palindrome (122023320221).

The spelling of 120022100200 in words is "one hundred twenty billion, twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 449 664 830 898 1660 1796 2075 2245 3320 3592 4150 4490 8300 8980 11225 16103 16600 17960 22450 32206 37267 44900 64412 74534 80515 89800 128824 149068 161030 186335 298136 322060 372670 402575 644120 745340 805150 931675 1336549 1490680 1610300 1863350 2673098 3220600 3726700 5346196 6682745 7230247 7453400 10692392 13365490 14460494 26730980 28920988 33413725 36151235 53461960 57841976 66827450 72302470 133654900 144604940 180756175 267309800 289209880 361512350 600110501 723024700 1200221002 1446049400 2400442004 3000552505 4800884008 6001105010 12002210020 15002762525 24004420040 30005525050 60011050100 120022100200