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2123745052 = 221121329103113
BaseRepresentation
bin111111010010101…
…1100011100011100
312111000012102112011
41332211130130130
513322134320202
6550423121004
7103425351352
oct17645343434
95430172464
102123745052
1199a887100
124b32a3164
1327acb2aa0
141620ab7d2
15c66a7bd7
hex7e95c71c

2123745052 has 144 divisors (see below), whose sum is σ = 4635933120. Its totient is φ = 844462080.

The previous prime is 2123745031. The next prime is 2123745053. The reversal of 2123745052 is 2505473212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123745053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18794148 + ... + 18794260.

It is an arithmetic number, because the mean of its divisors is an integer number (32193980).

Almost surely, 22123745052 is an apocalyptic number.

2123745052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2123745052 is an abundant number, since it is smaller than the sum of its proper divisors (2512188068).

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

2123745052 is a wasteful number, since it uses less digits than its factorization.

2123745052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2123745052 is about 46084.1084539996. The cubic root of 2123745052 is about 1285.3876612026.

The spelling of 2123745052 in words is "two billion, one hundred twenty-three million, seven hundred forty-five thousand, fifty-two".

Divisors: 1 2 4 11 13 22 26 29 44 52 58 103 113 116 121 143 206 226 242 286 319 377 412 452 484 572 638 754 1133 1243 1276 1339 1469 1508 1573 2266 2486 2678 2938 2987 3146 3277 3509 4147 4532 4972 5356 5876 5974 6292 6554 7018 8294 11639 11948 12463 13108 13673 14036 14729 16159 16588 23278 24926 27346 29458 32318 32857 36047 38831 42601 45617 46556 49852 54692 58916 64636 65714 72094 77662 85202 91234 128029 131428 144188 151307 155324 162019 170404 177749 182468 256058 302614 324038 337531 355498 361427 396517 427141 468611 512116 605228 648076 675062 710996 722854 793034 854282 937222 1350124 1408319 1445708 1586068 1664377 1708564 1874444 2816638 3328754 3712841 4387903 4698551 5154721 5633276 6657508 7425682 8775806 9397102 10309442 14851364 17551612 18308147 18794204 20618884 36616294 40841251 48266933 73232588 81682502 96533866 163365004 193067732 530936263 1061872526 2123745052