Search a number
-
+
100071150716152 = 23711853190449199
BaseRepresentation
bin10110110000001110100001…
…011001000000010011111000
3111010022201010112221101222001
4112300032201121000103320
5101104031204040404102
6552500015121310344
730035621255224420
oct2660164131002370
9433281115841861
10100071150716152
1129981a33803330
12b282561a953b4
1343ab890aba615
141a9d6805a9480
15b88130e33487
hex5b03a16404f8

100071150716152 has 64 divisors (see below), whose sum is σ = 234206808192000. Its totient is φ = 38943052007040.

The previous prime is 100071150716107. The next prime is 100071150716197. The reversal of 100071150716152 is 251617051170001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100071150716107) and next prime (100071150716197).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94699152 + ... + 95750047.

It is an arithmetic number, because the mean of its divisors is an integer number (3659481378000).

Almost surely, 2100071150716152 is an apocalyptic number.

It is an amenable number.

100071150716152 is an abundant number, since it is smaller than the sum of its proper divisors (134135657475848).

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

100071150716152 is a wasteful number, since it uses less digits than its factorization.

100071150716152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190450076 (or 190450072 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 37.

The spelling of 100071150716152 in words is "one hundred trillion, seventy-one billion, one hundred fifty million, seven hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 853 1706 3412 5971 6824 9383 11942 18766 23884 37532 47768 65681 75064 131362 262724 525448 190449199 380898398 761796796 1333144393 1523593592 2094941189 2666288786 4189882378 5332577572 8379764756 10665155144 14664588323 16759529512 29329176646 58658353292 117316706584 162453166747 324906333494 649812666988 1137172167229 1299625333976 1786984834217 2274344334458 3573969668434 4548688668916 7147939336868 9097377337832 12508893839519 14295878673736 25017787679038 50035575358076 100071150716152