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102200020020210 = 23572157442826899
BaseRepresentation
bin10111001111001101001011…
…111000111010101111110010
3111101212020010010010012022110
4113033031023320322233302
5101343421120111121320
61001210012510550150
730345464524566300
oct2717151370725762
9441766103105273
10102200020020210
112a62286aa52692
12b56706bb08356
134504560bb8b58
141b347162b5270
15bc36cc8785e0
hex5cf34be3abf2

102200020020210 has 96 divisors (see below), whose sum is σ = 287143132420800. Its totient is φ = 23211214685568.

The previous prime is 102200020020193. The next prime is 102200020020227. The reversal of 102200020020210 is 12020020002201.

It is an interprime number because it is at equal distance from previous prime (102200020020193) and next prime (102200020020227).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221182660 + ... + 221644239.

It is an arithmetic number, because the mean of its divisors is an integer number (2991074296050).

Almost surely, 2102200020020210 is an apocalyptic number.

102200020020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200020020210 is an abundant number, since it is smaller than the sum of its proper divisors (184943112400590).

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

102200020020210 is a wasteful number, since it uses less digits than its factorization.

102200020020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442827080 (or 442827073 counting only the distinct ones).

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

Adding to 102200020020210 its reverse (12020020002201), we get a palindrome (114220040022411).

The spelling of 102200020020210 in words is "one hundred two trillion, two hundred billion, twenty million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 157 210 245 294 314 471 490 735 785 942 1099 1470 1570 2198 2355 3297 4710 5495 6594 7693 10990 15386 16485 23079 32970 38465 46158 76930 115395 230790 442826899 885653798 1328480697 2214134495 2656961394 3099788293 4428268990 6199576586 6642403485 9299364879 13284806970 15498941465 18598729758 21698518051 30997882930 43397036102 46496824395 65095554153 69523823143 92993648790 108492590255 130191108306 139047646286 208571469429 216985180510 325477770765 347619115715 417142938858 486666762001 650955541530 695238231430 973333524002 1042857347145 1460000286003 2085714694290 2433333810005 2920000572006 3406667334007 4866667620010 6813334668014 7300001430015 10220002002021 14600002860030 17033336670035 20440004004042 34066673340070 51100010010105 102200020020210