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102133010020332 = 22338958133763873
BaseRepresentation
bin10111001110001110110001…
…110010000011011111101100
3111101121211011001222111112010
4113032032301302003133230
5101341321401031122312
61001115131310041220
730340603125153204
oct2716166162033754
9441554131874463
10102133010020332
112a5a74036109a5
12b55608a4a9210
1344cb142064255
141b3139a821404
15bc1aa99d393c
hex5ce3b1c837ec

102133010020332 has 48 divisors (see below), whose sum is σ = 238964144721120. Its totient is φ = 33950968547328.

The previous prime is 102133010020313. The next prime is 102133010020351. The reversal of 102133010020332 is 233020010331201.

It is an interprime number because it is at equal distance from previous prime (102133010020313) and next prime (102133010020351).

It is a junction number, because it is equal to n+sod(n) for n = 102133010020299 and 102133010020308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25253148 + ... + 29017020.

It is an arithmetic number, because the mean of its divisors is an integer number (4978419681690).

Almost surely, 2102133010020332 is an apocalyptic number.

102133010020332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102133010020332 is an abundant number, since it is smaller than the sum of its proper divisors (136831134700788).

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

102133010020332 is a wasteful number, since it uses less digits than its factorization.

102133010020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770082 (or 3770080 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102133010020332 its reverse (233020010331201), we get a palindrome (335153020351533).

The spelling of 102133010020332 in words is "one hundred two trillion, one hundred thirty-three billion, ten million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 389 778 1167 1556 2334 4668 5813 11626 17439 23252 34878 69756 2261257 3763873 4522514 6783771 7527746 9045028 11291619 13567542 15055492 22583238 27135084 45166476 1464146597 2928293194 4392439791 5856586388 8784879582 17569759164 21879393749 43758787498 65638181247 87517574996 131276362494 262552724988 8511084168361 17022168336722 25533252505083 34044336673444 51066505010166 102133010020332