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101087668650 = 235217246716069
BaseRepresentation
bin101111000100101001…
…0110110100110101010
3100122220222021122010210
41132021102312212222
53124011420344100
6114234455321550
710206022002063
oct1361122664652
9318828248123
10101087668650
1139964398711
12177120802b6
1396bcc63667
144c6d6ad56a
152969986c50
hex17894b69aa

101087668650 has 96 divisors (see below), whose sum is σ = 265568448960. Its totient is φ = 25359160320.

The previous prime is 101087668639. The next prime is 101087668663. The reversal of 101087668650 is 56866780101.

It is a self number, because there is not a number n which added to its sum of digits gives 101087668650.

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 47 ways as a sum of consecutive naturals, for example, 6282816 + ... + 6298884.

It is an arithmetic number, because the mean of its divisors is an integer number (2766338010).

Almost surely, 2101087668650 is an apocalyptic number.

101087668650 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 101087668650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132784224480).

101087668650 is an abundant number, since it is smaller than the sum of its proper divisors (164480780310).

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

101087668650 is a wasteful number, since it uses less digits than its factorization.

101087668650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 101087668650 in words is "one hundred one billion, eighty-seven million, six hundred sixty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2467 2550 4934 7401 12335 14802 16069 24670 32138 37005 41939 48207 61675 74010 80345 83878 96414 123350 125817 160690 185025 209695 241035 251634 273173 370050 401725 419390 482070 546346 629085 803450 819519 1048475 1205175 1258170 1365865 1639038 2096950 2410350 2731730 3145425 4097595 6290850 6829325 8195190 13658650 20487975 39642223 40975950 79284446 118926669 198211115 237853338 396422230 594633345 673917791 991055575 1189266690 1347835582 1982111150 2021753373 2973166725 3369588955 4043506746 5946333450 6739177910 10108766865 16847944775 20217533730 33695889550 50543834325 101087668650