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10234214331210 = 2335376715290237
BaseRepresentation
bin1001010011101101011010…
…1101011011001101001010
31100020101021222211001022000
42110323112231123031022
52320134132332044320
633433311055011430
72104253241330132
oct224732655331512
940211258731260
1010234214331210
113296340203701
121193561809b76
1359310b99559c
142754a5241ac2
1512b336ea1c90
hex94ed6b5b34a

10234214331210 has 128 divisors (see below), whose sum is σ = 28447181994240. Its totient is φ = 2615731252992.

The previous prime is 10234214331191. The next prime is 10234214331283. The reversal of 10234214331210 is 1213341243201.

10234214331210 is a `hidden beast` number, since 1 + 0 + 2 + 342 + 1 + 4 + 3 + 312 + 1 + 0 = 666.

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

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, 6975789 + ... + 8314448.

It is an arithmetic number, because the mean of its divisors is an integer number (222243609330).

Almost surely, 210234214331210 is an apocalyptic number.

10234214331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10234214331210 is an abundant number, since it is smaller than the sum of its proper divisors (18212967663030).

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

10234214331210 is a wasteful number, since it uses less digits than its factorization.

10234214331210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290357 (or 15290351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10234214331210 its reverse (1213341243201), we get a palindrome (11447555574411).

The spelling of 10234214331210 in words is "ten trillion, two hundred thirty-four billion, two hundred fourteen million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 67 74 90 111 134 135 185 201 222 270 333 335 370 402 555 603 666 670 999 1005 1110 1206 1665 1809 1998 2010 2479 3015 3330 3618 4958 4995 6030 7437 9045 9990 12395 14874 18090 22311 24790 37185 44622 66933 74370 111555 133866 223110 334665 669330 15290237 30580474 45870711 76451185 91741422 137612133 152902370 229353555 275224266 412836399 458707110 565738769 688060665 825672798 1024445879 1131477538 1376121330 1697216307 2048891758 2064181995 2828693845 3073337637 3394432614 4128363990 5091648921 5122229395 5657387690 6146675274 8486081535 9220012911 10183297842 10244458790 15274946763 15366688185 16972163070 18440025822 25458244605 27660038733 30549893526 30733376370 37904497523 46100064555 50916489210 55320077466 75808995046 76374733815 92200129110 113713492569 138300193665 152749467630 189522487615 227426985138 276600387330 341140477707 379044975230 568567462845 682280955414 1023421433121 1137134925690 1705702388535 2046842866242 3411404777070 5117107165605 10234214331210