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100231011330 = 235293112313019
BaseRepresentation
bin101110101011000111…
…0111101110000000010
3100120201021022221012220
41131112032331300002
53120233114330310
6114013454231510
710145550352632
oct1352616756002
9316637287186
10100231011330
113956487a35a
12175131b5596
1395b4634138
144bcb9d66c2
15291966c670
hex17563bdc02

100231011330 has 128 divisors (see below), whose sum is σ = 257170636800. Its totient is φ = 24945580800.

The previous prime is 100231011329. The next prime is 100231011337. The reversal of 100231011330 is 33110132001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100231011337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33198561 + ... + 33201579.

It is an arithmetic number, because the mean of its divisors is an integer number (2009145600).

Almost surely, 2100231011330 is an apocalyptic number.

100231011330 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 100231011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128585318400).

100231011330 is an abundant number, since it is smaller than the sum of its proper divisors (156939625470).

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

100231011330 is a wasteful number, since it uses less digits than its factorization.

100231011330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100231011330 its reverse (33110132001), we get a palindrome (133341143331).

The spelling of 100231011330 in words is "one hundred billion, two hundred thirty-one million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1231 1798 2462 2697 3019 3693 4495 5394 6038 6155 7386 8990 9057 12310 13485 15095 18114 18465 26970 30190 35699 36930 38161 45285 71398 76322 87551 90570 93589 107097 114483 175102 178495 187178 190805 214194 228966 262653 280767 356990 381610 437755 467945 525306 535485 561534 572415 875510 935890 1070970 1106669 1144830 1313265 1403835 2213338 2626530 2714081 2807670 3320007 3716389 5428162 5533345 6640014 7432778 8142243 11066690 11149167 13570405 16284486 16600035 18581945 22298334 27140810 33200070 37163890 40711215 55745835 81422430 107775281 111491670 115208059 215550562 230416118 323325843 345624177 538876405 576040295 646651686 691248354 1077752810 1152080590 1616629215 1728120885 3233258430 3341033711 3456241770 6682067422 10023101133 16705168555 20046202266 33410337110 50115505665 100231011330