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100221031974 = 23717416735087
BaseRepresentation
bin101110101010110100…
…0111001011000100110
3100120200120112221010010
41131111220321120212
53120223041010344
6114012500311050
710145366500410
oct1352550713046
9316616487103
10100221031974
113955a183758
121750b9a2486
1395b254baab
144bca5599b0
15291884a8b9
hex1755a39626

100221031974 has 128 divisors (see below), whose sum is σ = 248885747712. Its totient is φ = 26248642560.

The previous prime is 100221031973. The next prime is 100221031987. The reversal of 100221031974 is 479130122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221031973) 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, 19698859 + ... + 19703945.

It is an arithmetic number, because the mean of its divisors is an integer number (1944419904).

Almost surely, 2100221031974 is an apocalyptic number.

100221031974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221031974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124442873856).

100221031974 is an abundant number, since it is smaller than the sum of its proper divisors (148664715738).

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

100221031974 is a wasteful number, since it uses less digits than its factorization.

100221031974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830.

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 100221031974 its reverse (479130122001), we get a palindrome (579351153975).

The spelling of 100221031974 in words is "one hundred billion, two hundred twenty-one million, thirty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 102 119 123 238 246 287 357 574 673 697 714 861 1346 1394 1722 2019 2091 4038 4182 4711 4879 5087 9422 9758 10174 11441 14133 14637 15261 22882 27593 28266 29274 30522 34323 35609 55186 68646 71218 80087 82779 86479 106827 160174 165558 172958 193151 208567 213654 240261 259437 386302 417134 469081 480522 518874 579453 605353 625701 938162 1158906 1210706 1251402 1407243 1459969 1816059 2814486 2919938 3283567 3423551 3545639 3632118 4379907 6567134 6847102 7091278 8759814 9850701 10270653 10636917 19701402 20541306 21273834 23964857 24819473 47929714 49638946 58200367 71894571 74458419 116400734 140365591 143789142 148916838 174601101 280731182 349202202 407402569 421096773 814805138 842193546 982559137 1222207707 1965118274 2386215047 2444415414 2947677411 4772430094 5895354822 7158645141 14317290282 16703505329 33407010658 50110515987 100221031974