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103101330222 = 233113143130211
BaseRepresentation
bin110000000000101010…
…0010111001100101110
3100212010022100020112000
41200001110113030232
53142122420031342
6115210351153130
710306642563402
oct1400124271456
9325108306460
10103101330222
113a7a8016430
1217b945157a6
1399511b2097
144dc0cc3102
152a3664744c
hex180151732e

103101330222 has 128 divisors (see below), whose sum is σ = 264007434240. Its totient is φ = 29531628000.

The previous prime is 103101330209. The next prime is 103101330239. The reversal of 103101330222 is 222033101301.

103101330222 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 330 + 2 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103101330195 and 103101330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 726697 + ... + 856907.

It is an arithmetic number, because the mean of its divisors is an integer number (2062558080).

Almost surely, 2103101330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103101330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132003717120).

103101330222 is an abundant number, since it is smaller than the sum of its proper divisors (160906104018).

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

103101330222 is a wasteful number, since it uses less digits than its factorization.

103101330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130307 (or 130301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103101330222 its reverse (222033101301), we get a palindrome (325134431523).

The spelling of 103101330222 in words is "one hundred three billion, one hundred one million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 43 54 62 66 86 93 99 129 186 198 258 279 297 341 387 473 558 594 682 774 837 946 1023 1161 1333 1419 1674 2046 2322 2666 2838 3069 3999 4257 6138 7998 8514 9207 11997 12771 14663 18414 23994 25542 29326 35991 43989 71982 87978 130211 131967 260422 263934 390633 395901 781266 791802 1171899 1432321 2343798 2864642 3515697 4036541 4296963 5599073 7031394 8073082 8593926 11198146 12109623 12890889 16797219 24219246 25781778 33594438 36328869 38672667 44401951 50391657 61589803 72657738 77345334 88803902 100783314 108986607 123179606 133205853 151174971 173571263 184769409 217973214 266411706 302349942 347142526 369538818 399617559 520713789 554308227 799235118 1041427578 1108616454 1198852677 1562141367 1662924681 1909283893 2397705354 3124282734 3325849362 3818567786 4686424101 5727851679 9372848202 11455703358 17183555037 34367110074 51550665111 103101330222