Search a number
-
+
12937125300 = 22352118294729
BaseRepresentation
bin11000000110001110…
…01101110110110100
31020101121111001120220
430003013031312310
5202443401002200
65535423254340
7635410515321
oct140307156664
936347431526
1012937125300
1155397407a0
12261074a3b0
1312b2359438
148aa27db48
1550ab824a0
hex3031cddb4

12937125300 has 144 divisors (see below), whose sum is σ = 40892174400. Its totient is φ = 3131827200.

The previous prime is 12937125269. The next prime is 12937125347. The reversal of 12937125300 is 352173921.

12937125300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129371253002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733336 + ... + 2738064.

Almost surely, 212937125300 is an apocalyptic number.

12937125300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12937125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446087200).

12937125300 is an abundant number, since it is smaller than the sum of its proper divisors (27955049100).

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

12937125300 is a wasteful number, since it uses less digits than its factorization.

12937125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 12937125300 in words is "twelve billion, nine hundred thirty-seven million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 829 1100 1650 1658 2487 3300 3316 4145 4729 4974 8290 9119 9458 9948 12435 14187 16580 18238 18916 20725 23645 24870 27357 28374 36476 41450 45595 47290 49740 52019 54714 56748 62175 70935 82900 91190 94580 104038 109428 118225 124350 136785 141870 156057 182380 208076 227975 236450 248700 260095 273570 283740 312114 354675 455950 472900 520190 547140 624228 683925 709350 780285 911900 1040380 1300475 1367850 1418700 1560570 2600950 2735700 3121140 3901425 3920341 5201900 7802850 7840682 11761023 15605700 15681364 19601705 23522046 39203410 43123751 47044092 58805115 78406820 86247502 98008525 117610230 129371253 172495004 196017050 215618755 235220460 258742506 294025575 392034100 431237510 517485012 588051150 646856265 862475020 1078093775 1176102300 1293712530 2156187550 2587425060 3234281325 4312375100 6468562650 12937125300