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101455031130 = 23523898831871
BaseRepresentation
bin101111001111100110…
…0001110101101011010
3100200212120112120201120
41132133030032231122
53130234441444010
6114335141230110
710221102351525
oct1363714165532
9320776476646
10101455031130
113a0327a1572
12177b5102336
13974b0b85cb
144ca63b9bbc
15298bd4ee70
hex179f30eb5a

101455031130 has 128 divisors (see below), whose sum is σ = 257361960960. Its totient is φ = 25544977920.

The previous prime is 101455031113. The next prime is 101455031137. The reversal of 101455031130 is 31130554101.

101455031130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101455031130.

It is not an unprimeable number, because it can be changed into a prime (101455031137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54224095 + ... + 54225965.

It is an arithmetic number, because the mean of its divisors is an integer number (2010640320).

Almost surely, 2101455031130 is an apocalyptic number.

101455031130 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 101455031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128680980480).

101455031130 is an abundant number, since it is smaller than the sum of its proper divisors (155906929830).

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

101455031130 is a wasteful number, since it uses less digits than its factorization.

101455031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101455031130 its reverse (31130554101), we get a palindrome (132585585231).

The spelling of 101455031130 in words is "one hundred one billion, four hundred fifty-five million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 883 890 1335 1766 1871 2047 2649 2670 3742 4094 4415 5298 5613 6141 8830 9355 10235 11226 12282 13245 18710 20309 20470 26490 28065 30705 40618 43033 56130 60927 61410 78587 86066 101545 121854 129099 157174 166519 203090 215165 235761 258198 304635 333038 392935 430330 471522 499557 609270 645495 785870 832595 999114 1178805 1290990 1652093 1665190 1807501 2357610 2497785 3304186 3615002 3829937 4956279 4995570 5422503 7659874 8260465 9037505 9912558 10845006 11489811 16520930 18075010 19149685 22979622 24781395 27112515 37998139 38299370 49562790 54225030 57449055 75996278 113994417 114898110 147036277 189990695 227988834 294072554 379981390 441108831 569972085 735181385 882217662 1139944170 1470362770 2205544155 3381834371 4411088310 6763668742 10145503113 16909171855 20291006226 33818343710 50727515565 101455031130