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102202212220002 = 232157116331096279
BaseRepresentation
bin10111001111001111001110…
…100011011111110001100010
3111101212102202220010111002100
4113033033032203133301202
5101343440112312020002
61001211014221231230
730345603044150316
oct2717171643376142
9441772686114070
10102202212220002
112a623795434854
12b567582102516
134504820118cab
141b348834c1b46
15bc37aa05411c
hex5cf3ce8dfc62

102202212220002 has 48 divisors (see below), whose sum is σ = 223040182847040. Its totient is φ = 33821307033696.

The previous prime is 102202212220001. The next prime is 102202212220081. The reversal of 102202212220002 is 200022212202201.

102202212220002 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 2 + 220 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1022022122200022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102202212220001) 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, 12261502 + ... + 18834777.

It is an arithmetic number, because the mean of its divisors is an integer number (4646670475980).

Almost surely, 2102202212220002 is an apocalyptic number.

102202212220002 is an abundant number, since it is smaller than the sum of its proper divisors (120837970627038).

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

102202212220002 is a wasteful number, since it uses less digits than its factorization.

102202212220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31097607 (or 31097604 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102202212220002 its reverse (200022212202201), we get a palindrome (302224424422203).

The spelling of 102202212220002 in words is "one hundred two trillion, two hundred two billion, two hundred twelve million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1163 1413 2326 2826 3489 6978 10467 20934 182591 365182 547773 1095546 1643319 3286638 31096279 62192558 93288837 186577674 279866511 559733022 4882115803 9764231606 14646347409 29292694818 36164972477 43939042227 72329944954 87878084454 108494917431 216989834862 325484752293 650969504586 5677900678889 11355801357778 17033702036667 34067404073334 51101106110001 102202212220002