Search a number
-
+
120002200020 = 2232513914333347
BaseRepresentation
bin110111111000010110…
…0000100000111010100
3102110202011022101100200
41233300230010013110
53431231030400040
6131043411340500
711445523604313
oct1576054040724
9373664271320
10120002200020
114699012801a
121b3105b1730
13b4157a7861
145b4575a27a
1531c528c630
hex1bf0b041d4

120002200020 has 144 divisors (see below), whose sum is σ = 366990886080. Its totient is φ = 31738710528.

The previous prime is 120002199983. The next prime is 120002200039. The reversal of 120002200020 is 20002200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120002199975 and 120002200011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35851987 + ... + 35855333.

It is an arithmetic number, because the mean of its divisors is an integer number (2548547820).

Almost surely, 2120002200020 is an apocalyptic number.

120002200020 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 120002200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183495443040).

120002200020 is an abundant number, since it is smaller than the sum of its proper divisors (246988686060).

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

120002200020 is a wasteful number, since it uses less digits than its factorization.

120002200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 120002200020 its reverse (20002200021), we get a palindrome (140004400041).

Subtracting from 120002200020 its reverse (20002200021), we obtain a palindrome (99999999999).

The spelling of 120002200020 in words is "one hundred twenty billion, two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1433 1668 2085 2502 2780 2866 3347 4170 4299 5004 5732 6255 6694 7165 8340 8598 10041 12510 12897 13388 14330 16735 17196 20082 21495 25020 25794 28660 30123 33470 40164 42990 50205 51588 60246 64485 66940 85980 100410 120492 128970 150615 199187 200820 257940 301230 398374 465233 597561 602460 796748 930466 995935 1195122 1395699 1792683 1860932 1991870 2326165 2390244 2791398 2987805 3585366 3983740 4187097 4652330 4796251 5582796 5975610 6978495 7170732 8374194 8963415 9304660 9592502 11951220 13956990 14388753 16748388 17926830 19185004 20935485 23981255 27913980 28777506 35853660 41870970 43166259 47962510 57555012 71943765 83741940 86332518 95925020 143887530 172665036 215831295 287775060 431662590 666678889 863325180 1333357778 2000036667 2666715556 3333394445 4000073334 6000110001 6666788890 8000146668 10000183335 12000220002 13333577780 20000366670 24000440004 30000550005 40000733340 60001100010 120002200020