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102230276610 = 235711106941399
BaseRepresentation
bin101111100110101100…
…1100011101000000010
3100202212121022010121010
41133031121203220002
53133331422322420
6114544113341350
710246235004450
oct1371531435002
9322777263533
10102230276610
113a3a0364a10
1217990867856
1398428b1c47
144d3b33d9d0
1529d4e374e0
hex17cd663a02

102230276610 has 128 divisors (see below), whose sum is σ = 306187776000. Its totient is φ = 21222270720.

The previous prime is 102230276609. The next prime is 102230276641. The reversal of 102230276610 is 16672032201.

102230276610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022302766102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2448691 + ... + 2490089.

It is an arithmetic number, because the mean of its divisors is an integer number (2392092000).

Almost surely, 2102230276610 is an apocalyptic number.

102230276610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230276610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153093888000).

102230276610 is an abundant number, since it is smaller than the sum of its proper divisors (203957499390).

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

102230276610 is a wasteful number, since it uses less digits than its factorization.

102230276610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42496.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 102230276610 in words is "one hundred two billion, two hundred thirty million, two hundred seventy-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1069 1155 2138 2310 3207 5345 6414 7483 10690 11759 14966 16035 22449 23518 32070 35277 37415 41399 44898 58795 70554 74830 82313 82798 112245 117590 124197 164626 176385 206995 224490 246939 248394 289793 352770 411565 413990 455389 493878 579586 620985 823130 869379 910778 1234695 1241970 1366167 1448965 1738758 2276945 2469390 2732334 2897930 3187723 4346895 4553890 6375446 6830835 8693790 9563169 13661670 15938615 19126338 31877230 44255531 47815845 88511062 95631690 132766593 221277655 265533186 309788717 442555310 486810841 619577434 663832965 929366151 973621682 1327665930 1460432523 1548943585 1858732302 2434054205 2920865046 3097887170 3407675887 4646830755 4868108410 6815351774 7302162615 9293661510 10223027661 14604325230 17038379435 20446055322 34076758870 51115138305 102230276610