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100230033310 = 251171109281419
BaseRepresentation
bin101110101011000101…
…1001110111110011110
3100120201012111020121221
41131112023032332132
53120232342031220
6114013421243554
710145536140361
oct1352613167636
9316635436557
10100230033310
1139564271580
1217512a035ba
1395b4380c24
144bcb8200d8
1529195279aa
hex17562cef9e

100230033310 has 128 divisors (see below), whose sum is σ = 202617676800. Its totient is φ = 35392896000.

The previous prime is 100230033289. The next prime is 100230033341. The reversal of 100230033310 is 13330032001.

It is a super-2 number, since 2×1002300333102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239212281 + ... + 239212699.

It is an arithmetic number, because the mean of its divisors is an integer number (1582950600).

Almost surely, 2100230033310 is an apocalyptic number.

100230033310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100230033310 is an abundant number, since it is smaller than the sum of its proper divisors (102387643490).

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

100230033310 is a wasteful number, since it uses less digits than its factorization.

100230033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100230033310 its reverse (13330032001), we get a palindrome (113560065311).

The spelling of 100230033310 in words is "one hundred billion, two hundred thirty million, thirty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 71 109 110 142 218 281 355 419 545 562 710 781 838 1090 1199 1405 1562 2095 2398 2810 3091 3905 4190 4609 5995 6182 7739 7810 9218 11990 15455 15478 19951 23045 29749 30629 30910 38695 39902 45671 46090 59498 61258 77390 85129 91342 99755 117739 148745 153145 170258 199510 219461 228355 235478 297490 306290 327239 336919 425645 438922 456710 502381 588695 654478 673838 851290 1004762 1097305 1177390 1295129 1636195 1684595 2174659 2194610 2511905 2590258 3242641 3272390 3369190 4349318 5023810 6475645 6485282 8359469 10873295 12833551 12951290 16213205 16718938 21746590 23921249 25667102 32426410 35669051 41797345 47842498 64167755 71338102 83594690 91954159 119606245 128335510 141169061 178345255 183908318 239212490 282338122 356690510 459770795 705845305 911182121 919541590 1411690610 1822364242 4555910605 9111821210 10023003331 20046006662 50115016655 100230033310