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100023212130 = 235233116728001
BaseRepresentation
bin101110100100111011…
…0010001100001100010
3100120011210022122022020
41131021312101201202
53114321420242010
6113541112322310
710140445163232
oct1351166214142
9316153278266
10100023212130
113946854a786
12174756a3396
139580578c2a
144bac183cc2
1529062c2470
hex1749d91862

100023212130 has 128 divisors (see below), whose sum is σ = 260130963456. Its totient is φ = 24541440000.

The previous prime is 100023212123. The next prime is 100023212203. The reversal of 100023212130 is 31212320001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3558130 + ... + 3586130.

It is an arithmetic number, because the mean of its divisors is an integer number (2032273152).

Almost surely, 2100023212130 is an apocalyptic number.

100023212130 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 100023212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130065481728).

100023212130 is an abundant number, since it is smaller than the sum of its proper divisors (160107751326).

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

100023212130 is a wasteful number, since it uses less digits than its factorization.

100023212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28232.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100023212130 its reverse (31212320001), we get a palindrome (131235532131).

The spelling of 100023212130 in words is "one hundred billion, twenty-three million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 167 186 230 310 334 345 465 501 690 713 835 930 1002 1426 1670 2139 2505 3565 3841 4278 5010 5177 7130 7682 10354 10695 11523 15531 19205 21390 23046 25885 28001 31062 38410 51770 56002 57615 77655 84003 115230 119071 140005 155310 168006 238142 280010 357213 420015 595355 644023 714426 840030 868031 1190710 1288046 1736062 1786065 1932069 2604093 3220115 3572130 3864138 4340155 4676167 5208186 6440230 8680310 9352334 9660345 13020465 14028501 19320690 19964713 23380835 26040930 28057002 39929426 46761670 59894139 70142505 99823565 107551841 119788278 140285010 144961177 199647130 215103682 289922354 299470695 322655523 434883531 537759205 598941390 645311046 724805885 869767062 1075518410 1449611770 1613277615 2174417655 3226555230 3334107071 4348835310 6668214142 10002321213 16670535355 20004642426 33341070710 50011606065 100023212130