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10031300122230 = 23255912491512517
BaseRepresentation
bin1001000111111001100000…
…0101001001011001110110
31022111222112112221012121200
42101332120011021121312
52303323100312402410
633200152103153330
72053510653113052
oct221763005113166
938458475835550
1010031300122230
113218283449132
121160172145846
13579c4199c0ca
142697360cac62
15125e0cc833c0
hex91f98149676

10031300122230 has 96 divisors (see below), whose sum is σ = 26544690900000. Its totient is φ = 2627566995456.

The previous prime is 10031300122219. The next prime is 10031300122241. The reversal of 10031300122230 is 3222100313001.

10031300122230 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 0 + 0 + 122 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (10031300122219) and next prime (10031300122241).

It is a super-2 number, since 2×100313001222302 (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 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, 5875932 + ... + 7388448.

It is an arithmetic number, because the mean of its divisors is an integer number (276507196875).

Almost surely, 210031300122230 is an apocalyptic number.

10031300122230 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 10031300122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272345450000).

10031300122230 is an abundant number, since it is smaller than the sum of its proper divisors (16513390777770).

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

10031300122230 is a wasteful number, since it uses less digits than its factorization.

10031300122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513838 (or 1513835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031300122230 its reverse (3222100313001), we get a palindrome (13253400435231).

The spelling of 10031300122230 in words is "ten trillion, thirty-one billion, three hundred million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1249 1770 2498 2655 3747 5310 6245 7494 11241 12490 18735 22482 37470 56205 73691 112410 147382 221073 368455 442146 663219 736910 1105365 1326438 1512517 2210730 3025034 3316095 4537551 6632190 7562585 9075102 13612653 15125170 22687755 27225306 45375510 68063265 89238503 136126530 178477006 267715509 446192515 535431018 803146527 892385030 1338577545 1606293054 1889133733 2677155090 3778267466 4015732635 5667401199 8031465270 9445668665 11334802398 17002203597 18891337330 28337005995 34004407194 56674011990 85011017985 111458890247 170022035970 222917780494 334376670741 557294451235 668753341482 1003130012223 1114588902470 1671883353705 2006260024446 3343766707410 5015650061115 10031300122230