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10132012300210 = 252976153938513
BaseRepresentation
bin1001001101110000101011…
…1111100111011110110010
31022212121111100122221101121
42103130022333213132302
52312000330122101320
633314325430452454
72064004465363153
oct223341277473662
938777440587347
1010132012300210
113256a64891079
12117779a50412a
135865a1bc2c28
1427056b97592a
151288547988aa
hex9370afe77b2

10132012300210 has 64 divisors (see below), whose sum is σ = 18897019843680. Its totient is φ = 3906727444480.

The previous prime is 10132012300169. The next prime is 10132012300211. The reversal of 10132012300210 is 1200321023101.

It can be written as a sum of positive squares in 16 ways, for example, as 2924575399321 + 7207436900889 = 1710139^2 + 2684667^2 .

It is a super-3 number, since 3×101320123002103 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132012300211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190176914 + ... + 1190185426.

Almost surely, 210132012300210 is an apocalyptic number.

10132012300210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132012300210 is a deficient number, since it is larger than the sum of its proper divisors (8765007543470).

10132012300210 is a wasteful number, since it uses less digits than its factorization.

10132012300210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132012300210 its reverse (1200321023101), we get a palindrome (11332333323311).

The spelling of 10132012300210 in words is "ten trillion, one hundred thirty-two billion, twelve million, three hundred thousand, two hundred ten".

Divisors: 1 2 5 10 29 58 145 290 761 1522 3805 5393 7610 8513 10786 17026 22069 26965 42565 44138 53930 85130 110345 156397 220690 246877 312794 493754 781985 1234385 1563970 2468770 4104073 6478393 8208146 12956786 20520365 32391965 41040730 45910609 64783930 91821218 119018117 187873397 229553045 238036234 375746794 459106090 595090585 939366985 1190181170 1331407661 1878733970 2662815322 6657038305 13314076610 34937973449 69875946898 174689867245 349379734490 1013201230021 2026402460042 5066006150105 10132012300210