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212113000301300 = 225272915169198121
BaseRepresentation
bin110000001110101001101000…
…000010010000001011110100
31000211000210201200201020101022
4300032221220002100023310
5210300224411034120200
62031043211144120312
762451441612126560
oct6016515002201364
91024023650636338
10212113000301300
116164968899400a
121b958b06766098
139148229937077
143a5447706a6a0
15197c82c6aa885
hexc0ea680902f4

212113000301300 has 144 divisors (see below), whose sum is σ = 547783405451520. Its totient is φ = 69751704960000.

The previous prime is 212113000301269. The next prime is 212113000301303. The reversal of 212113000301300 is 3103000311212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212113000301303) 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, 31533761 + ... + 37664360.

Almost surely, 2212113000301300 is an apocalyptic number.

212113000301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212113000301300 is an abundant number, since it is smaller than the sum of its proper divisors (335670405150220).

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

212113000301300 is a wasteful number, since it uses less digits than its factorization.

212113000301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69198322 (or 69198315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 212113000301300 its reverse (3103000311212), we get a palindrome (215216000612512).

The spelling of 212113000301300 in words is "two hundred twelve trillion, one hundred thirteen billion, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 151 175 203 290 302 350 406 580 604 700 725 755 812 1015 1057 1450 1510 2030 2114 2900 3020 3775 4060 4228 4379 5075 5285 7550 8758 10150 10570 15100 17516 20300 21140 21895 26425 30653 43790 52850 61306 87580 105700 109475 122612 153265 218950 306530 437900 613060 766325 1532650 3065300 69198121 138396242 276792484 345990605 484386847 691981210 968773694 1383962420 1729953025 1937547388 2006745509 2421934235 3459906050 4013491018 4843868470 6919812100 8026982036 9687736940 10033727545 10448916271 12109671175 14047218563 20067455090 20897832542 24219342350 28094437126 40134910180 41795665084 48438684700 50168637725 52244581355 56188874252 70236092815 73142413897 100337275450 104489162710 140472185630 146284827794 200674550900 208978325420 261222906775 280944371260 292569655588 303018571859 351180464075 365712069485 522445813550 606037143718 702360928150 731424138970 1044891627100 1212074287436 1404721856300 1462848277940 1515092859295 1828560347425 2121130003013 3030185718590 3657120694850 4242260006026 6060371437180 7314241389700 7575464296475 8484520012052 10605650015065 15150928592950 21211300030130 30301857185900 42422600060260 53028250075325 106056500150650 212113000301300