Search a number
-
+
101331130320 = 24325720105383
BaseRepresentation
bin101111001011111001…
…1100101011111010000
3100200112221101202202200
41132113303211133100
53130011232132240
6114314553443200
710215036252630
oct1362763453720
9320487352680
10101331130320
1139a79866002
121777b710500
13972b527014
144c93b666c0
152981028930
hex1797ce57d0

101331130320 has 120 divisors (see below), whose sum is σ = 388918548096. Its totient is φ = 23161400064.

The previous prime is 101331130279. The next prime is 101331130339. The reversal of 101331130320 is 23031133101.

It is a happy number.

101331130320 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 311 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101331130293 and 101331130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10047652 + ... + 10057731.

Almost surely, 2101331130320 is an apocalyptic number.

101331130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331130320 is an abundant number, since it is smaller than the sum of its proper divisors (287587417776).

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

101331130320 is a wasteful number, since it uses less digits than its factorization.

101331130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105409 (or 20105400 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101331130320 its reverse (23031133101), we get a palindrome (124362263421).

The spelling of 101331130320 in words is "one hundred one billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 20105383 40210766 60316149 80421532 100526915 120632298 140737681 160843064 180948447 201053830 241264596 281475362 301580745 321686128 361896894 402107660 422213043 482529192 562950724 603161490 703688405 723793788 804215320 844426086 904742235 965058384 1125901448 1206322980 1266639129 1407376810 1447587576 1608430640 1688852172 1809484470 2111065215 2251802896 2412645960 2533278258 2814753620 2895175152 3377704344 3618968940 4222130430 4825291920 5066556516 5629507240 6333195645 6755408688 7237937880 8444260860 10133113032 11259014480 12666391290 14475875760 16888521720 20266226064 25332782580 33777043440 50665565160 101331130320