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110020210100010 = 23257229762599363
BaseRepresentation
bin11001000001000000010011…
…100010101000011100101010
3112102112211101121102020101200
4121001000103202220130222
5103410032342241200020
61025554330424225030
732113461240525120
oct3101002342503452
9472484347366350
10110020210100010
1132068344420491
121040a7a190b176
134950b2735b612
141d250140b7910
15cabd28b30590
hex6410138a872a

110020210100010 has 96 divisors (see below), whose sum is σ = 328344782163840. Its totient is φ = 25037662253184.

The previous prime is 110020210099913. The next prime is 110020210100051. The reversal of 110020210100010 is 10001012020011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110020210099965 and 110020210100001.

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, 381155412 + ... + 381443951.

It is an arithmetic number, because the mean of its divisors is an integer number (3420258147540).

Almost surely, 2110020210100010 is an apocalyptic number.

110020210100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110020210100010 is an abundant number, since it is smaller than the sum of its proper divisors (218324572063830).

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

110020210100010 is a wasteful number, since it uses less digits than its factorization.

110020210100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762599612 (or 762599609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110020210100010 its reverse (10001012020011), we get a palindrome (120021222120021).

It can be divided in two parts, 110020210 and 100010, that added together give a triangular number (110120220 = T14840).

The spelling of 110020210100010 in words is "one hundred ten trillion, twenty billion, two hundred ten million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 229 315 458 630 687 1145 1374 1603 2061 2290 3206 3435 4122 4809 6870 8015 9618 10305 14427 16030 20610 24045 28854 48090 72135 144270 762599363 1525198726 2287798089 3812996815 4575596178 5338195541 6863394267 7625993630 10676391082 11438990445 13726788534 16014586623 22877980890 26690977705 32029173246 34316971335 48043759869 53381955410 68633942670 80072933115 96087519738 160145866230 174635254127 240218799345 349270508254 480437598690 523905762381 873176270635 1047811524762 1222446778889 1571717287143 1746352541270 2444893557778 2619528811905 3143434574286 3667340336667 5239057623810 6112233894445 7334680673334 7858586435715 11002021010001 12224467788890 15717172871430 18336701683335 22004042020002 36673403366670 55010105050005 110020210100010