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202132230102 = 232113742165537
BaseRepresentation
bin1011110001000000000…
…1010000111111010110
3201022201221110012022200
42330100001100333112
511302431322330402
6232505215105330
720414011415205
oct2742001207726
9638657405280
10202132230102
11787a6413240
1233211812246
13160a3cb30aa
149ad735b23c
1553d075621c
hex2f10050fd6

202132230102 has 96 divisors (see below), whose sum is σ = 491852728224. Its totient is φ = 59454259200.

The previous prime is 202132230049. The next prime is 202132230121. The reversal of 202132230102 is 201032231202.

202132230102 is a `hidden beast` number, since 20 + 21 + 322 + 301 + 0 + 2 = 666.

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

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, 3051478 + ... + 3117014.

It is an arithmetic number, because the mean of its divisors is an integer number (5123465919).

Almost surely, 2202132230102 is an apocalyptic number.

202132230102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202132230102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245926364112).

202132230102 is an abundant number, since it is smaller than the sum of its proper divisors (289720498122).

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

202132230102 is a wasteful number, since it uses less digits than its factorization.

202132230102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66014 (or 66011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202132230102 its reverse (201032231202), we get a palindrome (403164461304).

It can be divided in two parts, 202132 and 230102, that added together give a palindrome (432234).

The spelling of 202132230102 in words is "two hundred two billion, one hundred thirty-two million, two hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 421 666 814 842 1221 1263 2442 2526 3663 3789 4631 7326 7578 9262 13893 15577 27786 31154 41679 46731 65537 83358 93462 131074 140193 171347 196611 280386 342694 393222 514041 589833 720907 1028082 1179666 1441814 1542123 2162721 2424869 3084246 4325442 4849738 6488163 7274607 12976326 14549214 21823821 26673559 27591077 43647642 53347118 55182154 80020677 82773231 160041354 165546462 240062031 248319693 303501847 480124062 496639386 607003694 910505541 1020869849 1821011082 2041739698 2731516623 3062609547 5463033246 6125219094 9187828641 11229568339 18375657282 22459136678 33688705017 67377410034 101066115051 202132230102