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101105281020 = 22351992995467
BaseRepresentation
bin101111000101001011…
…0000010011111111100
3100122222012102102202210
41132022112002133330
53124030422443040
6114240325020420
710206324465102
oct1361226023774
9318865372683
10101105281020
1139973328097
1217717b54710
1396c37bc093
144c71b75c72
15296b2b5480
hex178a5827fc

101105281020 has 96 divisors (see below), whose sum is σ = 298318406400. Its totient is φ = 25514625024.

The previous prime is 101105280989. The next prime is 101105281027. The reversal of 101105281020 is 20182501101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105281027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011327 + ... + 1106793.

It is an arithmetic number, because the mean of its divisors is an integer number (3107483400).

Almost surely, 2101105281020 is an apocalyptic number.

101105281020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105281020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149159203200).

101105281020 is an abundant number, since it is smaller than the sum of its proper divisors (197213125380).

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

101105281020 is a wasteful number, since it uses less digits than its factorization.

101105281020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96427 (or 96425 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 101105281020 its reverse (20182501101), we get a palindrome (121287782121).

The spelling of 101105281020 in words is "one hundred one billion, one hundred five million, two hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 929 1140 1858 2787 3716 4645 5574 9290 11148 13935 17651 18580 27870 35302 52953 55740 70604 88255 95467 105906 176510 190934 211812 264765 286401 353020 381868 477335 529530 572802 954670 1059060 1145604 1432005 1813873 1909340 2864010 3627746 5441619 5728020 7255492 9069365 10883238 18138730 21766476 27208095 36277460 54416190 88688843 108832380 177377686 266066529 354755372 443444215 532133058 886888430 1064266116 1330332645 1685088017 1773776860 2660665290 3370176034 5055264051 5321330580 6740352068 8425440085 10110528102 16850880170 20221056204 25276320255 33701760340 50552640510 101105281020