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101053224540 = 2233597219889
BaseRepresentation
bin101111000011100111…
…1011101011001011100
3100122211120110200201000
41132013033131121130
53123424111141130
6114231225150300
710205123143662
oct1360717353134
9318746420630
10101053224540
1139946a02304
121770262b390
1396b5a93928
144c68ca4c32
152966931260
hex17873dd65c

101053224540 has 144 divisors (see below), whose sum is σ = 317678306400. Its totient is φ = 26668376064.

The previous prime is 101053224533. The next prime is 101053224583. The reversal of 101053224540 is 45422350101.

101053224540 is a `hidden beast` number, since 10 + 105 + 3 + 2 + 2 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5070916 + ... + 5090804.

It is an arithmetic number, because the mean of its divisors is an integer number (2206099350).

Almost surely, 2101053224540 is an apocalyptic number.

101053224540 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 101053224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158839153200).

101053224540 is an abundant number, since it is smaller than the sum of its proper divisors (216625081860).

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

101053224540 is a wasteful number, since it uses less digits than its factorization.

101053224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20101 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 101053224540 its reverse (45422350101), we get a palindrome (146475574641).

The spelling of 101053224540 in words is "one hundred one billion, fifty-three million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 8730 9409 10476 13095 17460 18818 19889 26190 28227 37636 39778 47045 52380 56454 59667 79556 84681 94090 99445 112908 119334 141135 169362 179001 188180 198890 238668 254043 282270 298335 338724 358002 397780 423405 508086 537003 564540 596670 716004 846810 895005 1016172 1074006 1193340 1270215 1693620 1790010 1929233 2148012 2540430 2685015 3580020 3858466 5080860 5370030 5787699 7716932 9646165 10740060 11575398 17363097 19292330 23150796 28938495 34726194 38584660 52089291 57876990 69452388 86815485 104178582 115753980 173630970 187135601 208357164 260446455 347261940 374271202 520892910 561406803 748542404 935678005 1041785820 1122813606 1684220409 1871356010 2245627212 2807034015 3368440818 3742712020 5052661227 5614068030 6736881636 8421102045 10105322454 11228136060 16842204090 20210644908 25263306135 33684408180 50526612270 101053224540