Search a number
-
+
101211402131124 = 223148720872717783
BaseRepresentation
bin10111000000110100011101…
…101010111101011010110100
3111021100201022122010220200220
4113000310131222331122310
5101231221422421143444
6555131513134334340
730214165616310135
oct2700643552753264
9437321278126626
10101211402131124
112a281572a2212a
12b42754595a3b0
13446226aa648ac
141adc92d7a7c8c
15ba7b1a4ce619
hex5c0d1dabd6b4

101211402131124 has 48 divisors (see below), whose sum is σ = 236432075378688. Its totient is φ = 33698279089888.

The previous prime is 101211402131123. The next prime is 101211402131171. The reversal of 101211402131124 is 421131204112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211402131094 and 101211402131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211402131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35881537 + ... + 38599319.

It is an arithmetic number, because the mean of its divisors is an integer number (4925668237056).

Almost surely, 2101211402131124 is an apocalyptic number.

It is an amenable number.

101211402131124 is an abundant number, since it is smaller than the sum of its proper divisors (135220673247564).

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

101211402131124 is a wasteful number, since it uses less digits than its factorization.

101211402131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721364 (or 2721362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 101211402131124 its reverse (421131204112101), we get a palindrome (522342606243225).

The spelling of 101211402131124 in words is "one hundred one trillion, two hundred eleven billion, four hundred two million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 1487 2087 2974 4174 4461 5948 6261 8348 8922 12522 17844 25044 2717783 3103369 5435566 6206738 8153349 9310107 10871132 12413476 16306698 18620214 32613396 37240428 4041343321 5672013121 8082686642 11344026242 12124029963 16165373284 17016039363 22688052484 24248059926 34032078726 48496119852 68064157452 8434283510927 16868567021854 25302850532781 33737134043708 50605701065562 101211402131124