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102310992 = 24337231471
BaseRepresentation
bin1100001100100…
…10010001010000
321010111221022000
412012102101100
5202142422432
614052514000
72351425530
oct606222120
9233457260
10102310992
115282a843
122a31b900
1318272664
14d8334c0
158eae57c
hex6192450

102310992 has 160 divisors (see below), whose sum is σ = 350453760. Its totient is φ = 27941760.

The previous prime is 102310987. The next prime is 102311003. The reversal of 102310992 is 299013201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 68817 + ... + 70287.

It is an arithmetic number, because the mean of its divisors is an integer number (2190336).

Almost surely, 2102310992 is an apocalyptic number.

102310992 is a gapful number since it is divisible by the number (12) 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 102310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175226880).

102310992 is an abundant number, since it is smaller than the sum of its proper divisors (248142768).

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

102310992 is a wasteful number, since it uses less digits than its factorization.

102310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102310992 is about 10114.8896187749. The cubic root of 102310992 is about 467.7072462312.

It can be divided in two parts, 1023109 and 92, that added together give a palindrome (1023201).

The spelling of 102310992 in words is "one hundred two million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1471 1512 1656 1932 2484 2576 2898 2942 3024 3312 3864 4347 4413 4968 5796 5884 7728 8694 8826 9936 10297 11592 11768 13239 17388 17652 20594 23184 23536 26478 30891 33833 34776 35304 39717 41188 52956 61782 67666 69552 70608 79434 82376 92673 101499 105912 123564 135332 158868 164752 185346 202998 211824 236831 247128 270664 278019 304497 317736 370692 405996 473662 494256 541328 556038 608994 635472 710493 741384 811992 913491 947324 1112076 1217988 1420986 1482768 1623984 1826982 1894648 2131479 2224152 2435976 2841972 3653964 3789296 4262958 4448304 4871952 5683944 6394437 7307928 8525916 11367888 12788874 14615856 17051832 25577748 34103664 51155496 102310992