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102220120200 = 233521115487897
BaseRepresentation
bin101111100110011001…
…0110100000010001000
3100202211220012010121210
41133030302310002020
53133321322321300
6114543111533120
710246052454102
oct1371462640210
9322756163553
10102220120200
113a395658290
121798938a1a0
139840767133
144d39c58572
1529d40cd050
hex17cccb4088

102220120200 has 96 divisors (see below), whose sum is σ = 345689883360. Its totient is φ = 24780633600.

The previous prime is 102220120193. The next prime is 102220120201. The reversal of 102220120200 is 2021022201.

102220120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102220120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7737349 + ... + 7750548.

It is an arithmetic number, because the mean of its divisors is an integer number (3600936285).

Almost surely, 2102220120200 is an apocalyptic number.

102220120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220120200 is an abundant number, since it is smaller than the sum of its proper divisors (243469763160).

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

102220120200 is a wasteful number, since it uses less digits than its factorization.

102220120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15487927 (or 15487918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102220120200 its reverse (2021022201), we get a palindrome (104241142401).

It can be divided in two parts, 1022201 and 20200, that added together give a palindrome (1042401).

The spelling of 102220120200 in words is "one hundred two billion, two hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15487897 30975794 46463691 61951588 77439485 92927382 123903176 154878970 170366867 185854764 232318455 309757940 340733734 371709528 387197425 464636910 511100601 619515880 681467468 774394850 851834335 929273820 1022201202 1161592275 1362934936 1548789700 1703668670 1858547640 2044402404 2323184550 2555503005 3097579400 3407337340 4088804808 4259171675 4646369100 5111006010 6814674680 8518343350 9292738200 10222012020 12777515025 17036686700 20444024040 25555030050 34073373400 51110060100 102220120200