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10122311330010 = 2335114379260131
BaseRepresentation
bin1001001101001100100011…
…0001010110100011011010
31022211200110021120121001000
42103103020301112203122
52311320443200030020
633310043045205430
72063212211450205
oct223231061264332
938750407517030
1010122311330010
113252936948630
121175931700876
135856b7153a89
1426dccb41293c
15128487ca7090
hex934c8c568da

10122311330010 has 128 divisors (see below), whose sum is σ = 30131531781120. Its totient is φ = 2396826331200.

The previous prime is 10122311329997. The next prime is 10122311330071. The reversal of 10122311330010 is 1003311322101.

10122311330010 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 311 + 330 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×101223113300102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 39502356 + ... + 39757775.

It is an arithmetic number, because the mean of its divisors is an integer number (235402592040).

Almost surely, 210122311330010 is an apocalyptic number.

10122311330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122311330010 is an abundant number, since it is smaller than the sum of its proper divisors (20009220451110).

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

10122311330010 is a wasteful number, since it uses less digits than its factorization.

10122311330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79260201 (or 79260195 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10122311330010 its reverse (1003311322101), we get a palindrome (11125622652111).

The spelling of 10122311330010 in words is "ten trillion, one hundred twenty-two billion, three hundred eleven million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 86 90 99 110 129 135 165 198 215 258 270 297 330 387 430 473 495 594 645 774 946 990 1161 1290 1419 1485 1935 2322 2365 2838 2970 3870 4257 4730 5805 7095 8514 11610 12771 14190 21285 25542 42570 63855 127710 79260131 158520262 237780393 396300655 475560786 713341179 792601310 871861441 1188901965 1426682358 1743722882 2140023537 2377803930 2615584323 3408185633 3566705895 4280047074 4359307205 5231168646 6816371266 7133411790 7846752969 8718614410 10224556899 10700117685 13077921615 15693505938 17040928165 20449113798 21400235370 23540258907 26155843230 30673670697 34081856330 37490041963 39233764845 47080517814 51122784495 61347341394 74980083926 78467529690 92021012091 102245568990 112470125889 117701294535 153368353485 184042024182 187450209815 224940251778 235402589070 306736706970 337410377667 374900419630 460105060455 562350629445 674820755334 920210120910 1012231133001 1124701258890 1687051888335 2024462266002 3374103776670 5061155665005 10122311330010