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102002301100 = 22527719202667
BaseRepresentation
bin101111011111111001…
…1111001100010101100
3100202021201022202222201
41132333303321202230
53132400042113400
6114505331151244
710240466153020
oct1367763714254
9322251282881
10102002301100
113a2937045a7
1217928445524
1398075b12ab
144d18d58380
1529bee0406a
hex17bfcf98ac

102002301100 has 72 divisors (see below), whose sum is σ = 253318786560. Its totient is φ = 34923405120.

The previous prime is 102002301029. The next prime is 102002301127. The reversal of 102002301100 is 1103200201.

It is a super-2 number, since 2×1020023011002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401967 + ... + 604633.

It is an arithmetic number, because the mean of its divisors is an integer number (3518316480).

Almost surely, 2102002301100 is an apocalyptic number.

102002301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126659393280).

102002301100 is an abundant number, since it is smaller than the sum of its proper divisors (151316485460).

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

102002301100 is a wasteful number, since it uses less digits than its factorization.

102002301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203407 (or 203400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102002301100 its reverse (1103200201), we get a palindrome (103105501301).

The spelling of 102002301100 in words is "one hundred two billion, two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 719 1438 2876 3595 5033 7190 10066 14380 17975 20132 25165 35950 50330 71900 100660 125825 202667 251650 405334 503300 810668 1013335 1418669 2026670 2837338 4053340 5066675 5674676 7093345 10133350 14186690 20266700 28373380 35466725 70933450 141866900 145717573 291435146 582870292 728587865 1020023011 1457175730 2040046022 2914351460 3642939325 4080092044 5100115055 7285878650 10200230110 14571757300 20400460220 25500575275 51001150550 102002301100