Search a number
-
+
2123012103212 = 2271121348202073
BaseRepresentation
bin11110111001001101011…
…000011101110000101100
321111221212100211011021202
4132321031120131300230
5234240412044300322
64303144233145032
7306245135062340
oct36711530356054
97457770734252
102123012103212
11749400a92700
122a355455b178
131252787acc20
1474a7bc6d620
153a357618292
hex1ee4d61dc2c

2123012103212 has 72 divisors (see below), whose sum is σ = 5026126660128. Its totient is φ = 763520820480.

The previous prime is 2123012103209. The next prime is 2123012103229.

2123012103212 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

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, 24056993 + ... + 24145080.

It is an arithmetic number, because the mean of its divisors is an integer number (69807314724).

Almost surely, 22123012103212 is an apocalyptic number.

2123012103212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2123012103212 is an abundant number, since it is smaller than the sum of its proper divisors (2903114556916).

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

2123012103212 is a wasteful number, since it uses less digits than its factorization.

2123012103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48202119 (or 48202106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 2123012103212 in words is "two trillion, one hundred twenty-three billion, twelve million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 48202073 96404146 192808292 337414511 530222803 626626949 674829022 1060445606 1253253898 1349658044 2120891212 2506507796 3711559621 4386388643 5832450833 6892896439 7423119242 8772777286 11664901666 13785792878 14846238484 17545554572 23329803332 27571585756 40827155831 48250275073 75821860829 81654311662 96500550146 151643721658 163308623324 193001100292 303287443316 530753025803 1061506051606 2123012103212