Search a number
-
+
10201211211100 = 22527213160144603
BaseRepresentation
bin1001010001110010011110…
…0100100000110101011100
31100010020002221121211121011
42110130213210200311130
52314114040032223400
633410212143345004
72102004344412100
oct224344744406534
940106087554534
1010201211211100
113283344869028
121189090bb2164
1358cc7c395a50
14273a5401b900
1512a5548b98ba
hex94727920d5c

10201211211100 has 108 divisors (see below), whose sum is σ = 27731600496264. Its totient is φ = 3228515176320.

The previous prime is 10201211211097. The next prime is 10201211211101. The reversal of 10201211211100 is 111211210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201211211101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80008602 + ... + 80136001.

Almost surely, 210201211211100 is an apocalyptic number.

10201211211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201211211100 is an abundant number, since it is smaller than the sum of its proper divisors (17530389285164).

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

10201211211100 is a wasteful number, since it uses less digits than its factorization.

10201211211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160144644 (or 160144630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201211211100 its reverse (111211210201), we get a palindrome (10312422421301).

The spelling of 10201211211100 in words is "ten trillion, two hundred one billion, two hundred eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 160144603 320289206 640578412 800723015 1121012221 1601446030 2081879839 2242024442 3202892060 4003615075 4163759678 4484048884 5605061105 7847085547 8007230150 8327519356 10409399195 11210122210 14573158873 15694171094 16014460300 20818798390 22420244420 28025305525 29146317746 31388342188 39235427735 41637596780 52046995975 56050611050 58292635492 72865794365 78470855470 102012112111 104093991950 112101222100 145731588730 156941710940 196177138675 204024224222 208187983900 291463177460 364328971825 392354277350 408048448444 510060560555 728657943650 784708554700 1020121121110 1457315887300 2040242242220 2550302802775 5100605605550 10201211211100