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102110021000 = 2353137854617
BaseRepresentation
bin101111100011000111…
…0110100010110001000
3100202120020000111220122
41133012032310112020
53133110131133000
6114524140042412
710243244600141
oct1370616642610
9322506014818
10102110021000
113a339499109
1217958533408
1398239c8890
144d29398ac8
1529c95d1085
hex17c63b4588

102110021000 has 64 divisors (see below), whose sum is σ = 257317285680. Its totient is φ = 37702156800.

The previous prime is 102110020973. The next prime is 102110021021. The reversal of 102110021000 is 120011201.

It can be written as a sum of positive squares in 8 ways, for example, as 3818992804 + 98291028196 = 61798^2 + 313514^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 3914309 + ... + 3940308.

Almost surely, 2102110021000 is an apocalyptic number.

102110021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110021000 is an abundant number, since it is smaller than the sum of its proper divisors (155207264680).

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

102110021000 is a wasteful number, since it uses less digits than its factorization.

102110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854651 (or 7854637 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102110021000 its reverse (120011201), we get a palindrome (102230032201).

The spelling of 102110021000 in words is "one hundred two billion, one hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 7854617 15709234 31418468 39273085 62836936 78546170 102110021 157092340 196365425 204220042 314184680 392730850 408440084 510550105 785461700 816880168 981827125 1021100210 1570923400 1963654250 2042200420 2552750525 3927308500 4084400840 5105501050 7854617000 10211002100 12763752625 20422004200 25527505250 51055010500 102110021000