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201100031322330 = 23572364916414361
BaseRepresentation
bin101101101110011000111111…
…111011100110100011011010
3222101000222022221122011110110
4231232120333323212203122
5202324310331004303310
61551412025022225150
760233666150266020
oct5556307773464332
9871028287564413
10201100031322330
1159093054018268
121a67a6497251b6
1388298616b2c7a
143793417322710
15183b11767ad20
hexb6e63fee68da

201100031322330 has 128 divisors (see below), whose sum is σ = 575659534749696. Its totient is φ = 43960431398400.

The previous prime is 201100031322269. The next prime is 201100031322331. The reversal of 201100031322330 is 33223130001102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201100031322297 and 201100031322306.

It is not an unprimeable number, because it can be changed into a prime (201100031322331) 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, 28144350 + ... + 34558710.

It is an arithmetic number, because the mean of its divisors is an integer number (4497340115232).

Almost surely, 2201100031322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100031322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287829767374848).

201100031322330 is an abundant number, since it is smaller than the sum of its proper divisors (374559503427366).

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

201100031322330 is a wasteful number, since it uses less digits than its factorization.

201100031322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420892.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201100031322330 its reverse (33223130001102), we get a palindrome (234323161323432).

The spelling of 201100031322330 in words is "two hundred one trillion, one hundred billion, thirty-one million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 6491 12982 19473 32455 38946 45437 64910 90874 97365 136311 149293 194730 227185 272622 298586 447879 454370 681555 746465 895758 1045051 1363110 1492930 2090102 2239395 3135153 4478790 5225255 6270306 6414361 10450510 12828722 15675765 19243083 31351530 32071805 38486166 44900527 64143610 89801054 96215415 134701581 147530303 192430830 224502635 269403162 295060606 442590909 449005270 673507905 737651515 885181818 1032712121 1347015810 1475303030 2065424242 2212954545 3098136363 4425909090 5163560605 6196272726 10327121210 15490681815 30981363630 41635617251 83271234502 124906851753 208178086255 249813703506 291449320757 416356172510 582898641514 624534258765 874347962271 957619196773 1249068517530 1457246603785 1748695924542 1915238393546 2872857590319 2914493207570 4371739811355 4788095983865 5745715180638 6703334377411 8743479622710 9576191967730 13406668754822 14364287951595 20110003132233 28728575903190 33516671887055 40220006264466 67033343774110 100550015661165 201100031322330