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100202012210202 = 2372418312760263
BaseRepresentation
bin10110110010001000011001…
…010101111111010000011010
3111010210012220111221002020220
4112302020121111333100122
5101113202210111211302
6553040100253300510
730051233162454300
oct2662103125772032
9433705814832226
10100202012210202
1129a224866a4711
12b2a39a3194736
1343bb0172c6036
141aa5b3624a270
15b8b73e7194bc
hex5b221957f41a

100202012210202 has 48 divisors (see below), whose sum is σ = 238808976864192. Its totient is φ = 27930874480320.

The previous prime is 100202012210191. The next prime is 100202012210203. The reversal of 100202012210202 is 202012210202001.

100202012210202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100202012210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4156368078 + ... + 4156392185.

It is an arithmetic number, because the mean of its divisors is an integer number (4975187018004).

Almost surely, 2100202012210202 is an apocalyptic number.

100202012210202 is an abundant number, since it is smaller than the sum of its proper divisors (138606964653990).

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

100202012210202 is a wasteful number, since it uses less digits than its factorization.

100202012210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312760323 (or 8312760316 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100202012210202 its reverse (202012210202001), we get a palindrome (302214222412203).

The spelling of 100202012210202 in words is "one hundred trillion, two hundred two billion, twelve million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 8312760263 16625520526 24938280789 49876561578 58189321841 116378643682 174567965523 340823170783 349135931046 407325252887 681646341566 814650505774 1022469512349 1221975758661 2044939024698 2385762195481 2443951517322 4771524390962 7157286586443 14314573172886 16700335368367 33400670736734 50101006105101 100202012210202