Search a number
-
+
101321030313300 = 22352769169823603
BaseRepresentation
bin10111000010011010100100…
…000001010010010101010100
3111021202012021210220120220110
4113002122210001102111110
5101240020432230011200
6555254123323003020
730225126404423460
oct2702324401222524
9437665253816813
10101321030313300
112a31400a1a5a86
12b444840069470
13446c6bc209945
141b03d6d4414a0
15baa8d4b2db50
hex5c26a4052554

101321030313300 has 144 divisors (see below), whose sum is σ = 335519733473792. Its totient is φ = 23125576982400.

The previous prime is 101321030313281. The next prime is 101321030313341. The reversal of 101321030313300 is 3313030123101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 33460702 + ... + 36362901.

Almost surely, 2101321030313300 is an apocalyptic number.

101321030313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321030313300 is an abundant number, since it is smaller than the sum of its proper divisors (234198703160492).

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

101321030313300 is a wasteful number, since it uses less digits than its factorization.

101321030313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69824318 (or 69824311 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101321030313300 its reverse (3313030123101), we get a palindrome (104634060436401).

The spelling of 101321030313300 in words is "one hundred one trillion, three hundred twenty-one billion, thirty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 691 700 1050 1382 2073 2100 2764 3455 4146 4837 6910 8292 9674 10365 13820 14511 17275 19348 20730 24185 29022 34550 41460 48370 51825 58044 69100 72555 96740 103650 120925 145110 207300 241850 290220 362775 483700 725550 1451100 69823603 139647206 209470809 279294412 349118015 418941618 488765221 698236030 837883236 977530442 1047354045 1396472060 1466295663 1745590075 1955060884 2094708090 2443826105 2932591326 3491180150 4189416180 4887652210 5236770225 5865182652 6982360300 7331478315 9775304420 10473540450 12219130525 14662956630 20947080900 24438261050 29325913260 36657391575 48248109673 48876522100 73314783150 96496219346 144744329019 146629566300 192992438692 241240548365 289488658038 337736767711 482481096730 578977316076 675473535422 723721645095 964962193460 1013210303133 1206202741825 1350947070844 1447443290190 1688683838555 2026420606266 2412405483650 2894886580380 3377367677110 3618608225475 4052841212532 4824810967300 5066051515665 6754735354220 7237216450950 8443419192775 10132103031330 14474432901900 16886838385550 20264206062660 25330257578325 33773676771100 50660515156650 101321030313300