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1102022221194 = 233475364112781
BaseRepresentation
bin10000000010010101101…
…001001001110110001010
310220100111211020020201000
4100002111221021312022
5121023420142034234
62202132332435430
7142422065216106
oct20022551116612
93810454206630
101102022221194
113954018a5784
121596b5018b76
137cbc6a32a6b
143b4a3ca8906
151d9ed2a2899
hex10095a49d8a

1102022221194 has 128 divisors (see below), whose sum is σ = 2552407925760. Its totient is φ = 352163635200.

The previous prime is 1102022221193. The next prime is 1102022221217. The reversal of 1102022221194 is 4911222202011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1102022221193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86217084 + ... + 86229864.

It is an arithmetic number, because the mean of its divisors is an integer number (19940686920).

Almost surely, 21102022221194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102022221194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276203962880).

1102022221194 is an abundant number, since it is smaller than the sum of its proper divisors (1450385704566).

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

1102022221194 is a wasteful number, since it uses less digits than its factorization.

1102022221194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13533 (or 13527 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1102022221194 in words is "one trillion, one hundred two billion, twenty-two million, two hundred twenty-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 47 53 54 94 106 141 159 282 318 423 477 641 846 954 1269 1282 1431 1923 2491 2538 2862 3846 4982 5769 7473 11538 12781 14946 17307 22419 25562 30127 33973 34614 38343 44838 60254 67257 67946 76686 90381 101919 115029 134514 180762 203838 230058 271143 305757 345087 542286 600707 611514 677393 690174 813429 917271 1201414 1354786 1596731 1626858 1802121 1834542 2032179 3193462 3604242 4064358 4790193 5406363 6096537 8192621 9580386 10812726 12193074 14370579 16219089 16385242 18289611 24577863 28741158 31837471 32438178 36579222 43111737 49155726 63674942 73733589 86223474 95512413 147467178 191024826 221200767 286537239 385053187 434208913 442401534 573074478 770106374 859611717 868417826 1155159561 1302626739 1719223434 2310319122 2605253478 3465478683 3907880217 6930957366 7815760434 10396436049 11723640651 20407818911 20792872098 23447281302 40815637822 61223456733 122446913466 183670370199 367340740398 551011110597 1102022221194