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103332222002212 = 227223431232943237
BaseRepresentation
bin10111011111101011101000…
…011000101110010000100100
3111112212110112012220010212021
4113133223220120232100210
5102020443342313032322
61003434100100432524
730523335534625300
oct2737535030562044
9445773465803767
10103332222002212
112aa19a49500345
12b70a5880a8744
134587257302a38
141b7344041cd00
15be2d954124c7
hex5dfae862e424

103332222002212 has 144 divisors (see below), whose sum is σ = 224628826181760. Its totient is φ = 41370368675328.

The previous prime is 103332222002209. The next prime is 103332222002267. The reversal of 103332222002212 is 212200222233301.

It is a super-3 number, since 3×1033322220022123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2389881058 + ... + 2389924294.

It is an arithmetic number, because the mean of its divisors is an integer number (1559922404040).

Almost surely, 2103332222002212 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 103332222002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112314413090880).

103332222002212 is an abundant number, since it is smaller than the sum of its proper divisors (121296604179548).

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

103332222002212 is a wasteful number, since it uses less digits than its factorization.

103332222002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55650 (or 55641 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 103332222002212 its reverse (212200222233301), we get a palindrome (315532444235513).

The spelling of 103332222002212 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 43 46 49 86 92 98 161 172 196 301 322 602 644 989 1127 1204 1978 2107 2254 3956 4214 4508 6923 8428 12329 13846 24658 27692 43237 48461 49316 86303 86474 96922 172606 172948 193844 283567 302659 345212 530147 567134 604121 605318 994451 1060294 1134268 1208242 1210636 1859191 1984969 1988902 2118613 2120588 2416484 3711029 3718382 3969938 3977804 4237226 6961157 7422058 7436764 7939876 8474452 12193381 13014337 13894783 13922314 14844116 24386762 25977203 26028674 27789566 27844628 42761393 48728099 48773524 51954406 52057348 55579132 85353667 85522786 91100359 97456198 103908812 170707334 171045572 182200718 194912396 299329751 341414668 364401436 533068973 597475669 598659502 1066137946 1194951338 1197319004 2095308257 2132275892 2389902676 3731482811 4190616514 7462965622 8381233028 12260586379 14925931244 22921965839 24521172758 26120379677 45843931678 49042345516 52240759354 85824104653 91687863356 104481518708 160453760873 171648209306 320907521746 343296418612 527205214297 600768732571 641815043492 1054410428594 1123176326111 1201537465142 2108820857188 2246352652222 2403074930284 3690436500079 4492705304444 7380873000158 14761746000316 25833055500553 51666111001106 103332222002212