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102313020 = 22353167821
BaseRepresentation
bin1100001100100…
…10110000111100
321010112001002010
412012102300330
5202143004040
614052531220
72351434455
oct606226074
9233461063
10102313020
1152831317
122a320b10
1318273564
14d83412c
158eaee80
hex6192c3c

102313020 has 96 divisors (see below), whose sum is σ = 300496896. Its totient is φ = 25977600.

The previous prime is 102313019. The next prime is 102313037. The reversal of 102313020 is 20313201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102312987 and 102313005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124210 + ... + 125030.

It is an arithmetic number, because the mean of its divisors is an integer number (3130176).

Almost surely, 2102313020 is an apocalyptic number.

102313020 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 102313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150248448).

102313020 is an abundant number, since it is smaller than the sum of its proper divisors (198183876).

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

102313020 is a wasteful number, since it uses less digits than its factorization.

102313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102313020 is about 10114.9898665298. The cubic root of 102313020 is about 467.7103364955.

Adding to 102313020 its reverse (20313201), we get a palindrome (122626221).

The spelling of 102313020 in words is "one hundred two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 155 186 201 268 310 335 372 402 465 620 670 804 821 930 1005 1340 1642 1860 2010 2077 2463 3284 4020 4105 4154 4926 6231 8210 8308 9852 10385 12315 12462 16420 20770 24630 24924 25451 31155 41540 49260 50902 55007 62310 76353 101804 110014 124620 127255 152706 165021 220028 254510 275035 305412 330042 381765 509020 550070 660084 763530 825105 1100140 1527060 1650210 1705217 3300420 3410434 5115651 6820868 8526085 10231302 17052170 20462604 25578255 34104340 51156510 102313020