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10121121144 = 23321259111653
BaseRepresentation
bin10010110110100010…
…00000110101111000
3222010100200020002200
421123101000311320
5131212001334034
64352150430200
7505545052551
oct113321006570
928110606080
1010121121144
114324122132
121b65662360
13c53b177a4
146c0291328
153e3835a99
hex25b440d78

10121121144 has 48 divisors (see below), whose sum is σ = 27433387800. Its totient is φ = 3370997184.

The previous prime is 10121121137. The next prime is 10121121163. The reversal of 10121121144 is 44112112101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34822 + ... + 146474.

Almost surely, 210121121144 is an apocalyptic number.

It is an amenable number.

10121121144 is an abundant number, since it is smaller than the sum of its proper divisors (17312266656).

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

10121121144 is a wasteful number, since it uses less digits than its factorization.

10121121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112924 (or 112917 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10121121144 its reverse (44112112101), we get a palindrome (54233233245).

The spelling of 10121121144 in words is "ten billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1259 2518 3777 5036 7554 10072 11331 15108 22662 30216 45324 90648 111653 223306 334959 446612 669918 893224 1004877 1339836 2009754 2679672 4019508 8039016 140571127 281142254 421713381 562284508 843426762 1124569016 1265140143 1686853524 2530280286 3373707048 5060560572 10121121144