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102030021303120 = 24325141708362921
BaseRepresentation
bin10111001100101110110111…
…001011010001101101010000
3111101020222022121112121000100
4113030232313023101231100
5101333124440423144440
61000555540020252400
730330266020413351
oct2714566713215520
9441228277477010
10102030021303120
112a567764121379
12b53a127841100
1344c150b2c09b1
141b2a3ca893d28
15bbe07d1d3230
hex5ccbb72d1b50

102030021303120 has 60 divisors (see below), whose sum is σ = 342650821545396. Its totient is φ = 27208005680640.

The previous prime is 102030021303097. The next prime is 102030021303121. The reversal of 102030021303120 is 21303120030201.

102030021303120 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 300 + 21 + 30 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52006539941136 + 50023481361984 = 7211556^2 + 7072728^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 102030021303093 and 102030021303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102030021303121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70854180741 + ... + 70854182180.

Almost surely, 2102030021303120 is an apocalyptic number.

102030021303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102030021303120 is an abundant number, since it is smaller than the sum of its proper divisors (240620800242276).

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

102030021303120 is a wasteful number, since it uses less digits than its factorization.

102030021303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141708362940 (or 141708362931 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102030021303120 its reverse (21303120030201), we get a palindrome (123333141333321).

The spelling of 102030021303120 in words is "one hundred two trillion, thirty billion, twenty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 141708362921 283416725842 425125088763 566833451684 708541814605 850250177526 1133666903368 1275375266289 1417083629210 1700500355052 2125625443815 2267333806736 2550750532578 2834167258420 3401000710104 4251250887630 5101501065156 5668334516840 6376876331445 6802001420208 8502501775260 10203002130312 11336669033680 12753752662890 17005003550520 20406004260624 25507505325780 34010007101040 51015010651560 102030021303120