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102232300001300 = 22527674994368323
BaseRepresentation
bin10111001111101011001111…
…111011010001100000010100
3111101222022102202121010202122
4113033223033323101200110
5101344433222300020200
61001232511550555112
730351016461111320
oct2717531773214024
9441868382533678
10102232300001300
112a635525184207
12b57137a508a98
134507606737191
141b360d945a980
15bc446b71c385
hex5cfacfed1814

102232300001300 has 144 divisors (see below), whose sum is σ = 257835955776000. Its totient is φ = 34458721799040.

The previous prime is 102232300001239. The next prime is 102232300001339. The reversal of 102232300001300 is 3100003232201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21218939 + ... + 25587261.

Almost surely, 2102232300001300 is an apocalyptic number.

102232300001300 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 102232300001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128917977888000).

102232300001300 is an abundant number, since it is smaller than the sum of its proper divisors (155603655774700).

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

102232300001300 is a wasteful number, since it uses less digits than its factorization.

102232300001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368910 (or 4368903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102232300001300 its reverse (3100003232201), we get a palindrome (105332303233501).

The spelling of 102232300001300 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 499 670 700 938 998 1340 1675 1876 1996 2345 2495 3350 3493 4690 4990 6700 6986 9380 9980 11725 12475 13972 17465 23450 24950 33433 34930 46900 49900 66866 69860 87325 133732 167165 174650 234031 334330 349300 468062 668660 835825 936124 1170155 1671650 2340310 3343300 4368323 4680620 5850775 8736646 11701550 17473292 21841615 23403100 30578261 43683230 61156522 87366460 109208075 122313044 152891305 218416150 292677641 305782610 436832300 585355282 611565220 764456525 1170710564 1463388205 1528913050 2048743487 2179793177 2926776410 3057826100 4097486974 4359586354 5853552820 7316941025 8194973948 8719172708 10243717435 10898965885 14633882050 15258552239 20487434870 21797931770 29267764100 30517104478 40974869740 43595863540 51218587175 54494829425 61034208956 76292761195 102437174350 108989658850 146046142859 152585522390 204874348700 217979317700 292092285718 305171044780 381463805975 584184571436 730230714295 762927611950 1022323000013 1460461428590 1525855223900 2044646000026 2920922857180 3651153571475 4089292000052 5111615000065 7302307142950 10223230000130 14604614285900 20446460000260 25558075000325 51116150000650 102232300001300