Search a number
-
+
100101660150 = 23521746784059
BaseRepresentation
bin101110100111010000…
…1100001110111110110
3100120101020221012202110
41131032201201313312
53120002011111100
6113552553551450
710142420033532
oct1351641416766
9316336835673
10100101660150
11394a8860958
1217497a15586
1395938b4a8b
144bb8764bc2
15290d11b250
hex174e861df6

100101660150 has 96 divisors (see below), whose sum is σ = 263421175680. Its totient is φ = 25069457920.

The previous prime is 100101660137. The next prime is 100101660173. The reversal of 100101660150 is 51066101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148821 + ... + 1232879.

It is an arithmetic number, because the mean of its divisors is an integer number (2743970580).

Almost surely, 2100101660150 is an apocalyptic number.

100101660150 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 100101660150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131710587840).

100101660150 is an abundant number, since it is smaller than the sum of its proper divisors (163319515530).

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

100101660150 is a wasteful number, since it uses less digits than its factorization.

100101660150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84558 (or 84553 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 100101660150 its reverse (51066101001), we get a palindrome (151167761151).

The spelling of 100101660150 in words is "one hundred billion, one hundred one million, six hundred sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 467 510 850 934 1275 1401 2335 2550 2802 4670 7005 7939 11675 14010 15878 23350 23817 35025 39695 47634 70050 79390 84059 119085 168118 198475 238170 252177 396950 420295 504354 595425 840590 1190850 1260885 1429003 2101475 2521770 2858006 4202950 4287009 6304425 7145015 8574018 12608850 14290030 21435045 35725075 39255553 42870090 71450150 78511106 107175225 117766659 196277765 214350450 235533318 392555530 588833295 667344401 981388825 1177666590 1334688802 1962777650 2002033203 2944166475 3336722005 4004066406 5888332950 6673444010 10010166015 16683610025 20020332030 33367220050 50050830075 100101660150