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2050124112 = 2432176113729
BaseRepresentation
bin111101000110010…
…0110100101010000
312021212200002120200
41322030212211100
513144312432422
6535233135200
7101542524141
oct17214464520
95255602520
102050124112
11962272653
124926ba500
132689770ba
141563c5ac8
15beeb42ac
hex7a326950

2050124112 has 120 divisors (see below), whose sum is σ = 6175040040. Its totient is φ = 632586240.

The previous prime is 2050124093. The next prime is 2050124117. The reversal of 2050124112 is 2114210502.

It can be written as a sum of positive squares in 4 ways, for example, as 59536656 + 1990587456 = 7716^2 + 44616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050124117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142464 + ... + 156192.

It is an arithmetic number, because the mean of its divisors is an integer number (51458667).

Almost surely, 22050124112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087520020).

2050124112 is an abundant number, since it is smaller than the sum of its proper divisors (4124915928).

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

2050124112 is a wasteful number, since it uses less digits than its factorization.

2050124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2050124112 is about 45278.2962576994. The cubic root of 2050124112 is about 1270.3597286299.

Adding to 2050124112 its reverse (2114210502), we get a palindrome (4164334614).

The spelling of 2050124112 in words is "two billion, fifty million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 61 68 72 102 122 136 144 153 183 204 244 272 306 366 408 488 549 612 732 816 976 1037 1098 1224 1464 2074 2196 2448 2928 3111 4148 4392 6222 8296 8784 9333 12444 13729 16592 18666 24888 27458 37332 41187 49776 54916 74664 82374 109832 123561 149328 164748 219664 233393 247122 329496 466786 494244 658992 700179 837469 933572 988488 1400358 1674938 1867144 1976976 2100537 2512407 2800716 3349876 3734288 4201074 5024814 5601432 6699752 7537221 8402148 10049628 11202864 13399504 14236973 15074442 16804296 20099256 28473946 30148884 33608592 40198512 42710919 56947892 60297768 85421838 113895784 120595536 128132757 170843676 227791568 256265514 341687352 512531028 683374704 1025062056 2050124112