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1002212220009 = 3711133711537823
BaseRepresentation
bin11101001010110001000…
…00001101110001101001
310112210212220002211211110
432211120200031301221
5112410012312020014
62044224314020533
7132256516212030
oct16453040156151
93483786084743
101002212220009
113570437415a0
1214229aa17749
137367b6b8370
1436716185717
151b10aa98d59
hexe95880dc69

1002212220009 has 128 divisors (see below), whose sum is σ = 1844495106048. Its totient is φ = 467127336960.

The previous prime is 1002212219993. The next prime is 1002212220011. The reversal of 1002212220009 is 9000222122001.

It is a happy number.

It is not a de Polignac number, because 1002212220009 - 24 = 1002212219993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1002212220019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128107072 + ... + 128114894.

It is an arithmetic number, because the mean of its divisors is an integer number (14410118016).

Almost surely, 21002212220009 is an apocalyptic number.

It is an amenable number.

1002212220009 is a deficient number, since it is larger than the sum of its proper divisors (842282886039).

1002212220009 is a wasteful number, since it uses less digits than its factorization.

1002212220009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047.

The product of its (nonzero) digits is 288, while the sum is 21.

It can be divided in two parts, 1002212 and 220009, that added together give a palindrome (1222221).

The spelling of 1002212220009 in words is "one trillion, two billion, two hundred twelve million, two hundred twenty thousand, nine".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1153 1221 1443 2849 3003 3367 3459 5291 7823 8071 8547 10101 12683 14989 15873 23469 24213 37037 38049 42661 44967 54761 86053 88781 101699 104923 111111 127983 164283 164879 258159 266343 289451 298627 305097 314769 469271 494637 554593 602371 711893 868353 895881 1118689 1154153 1407813 1663779 1807113 2026157 2135679 3183961 3284897 3356067 3462459 3762863 3882151 6078471 6100523 7830823 9019919 9551883 9854691 11288589 11646453 18301569 22287727 23492469 26340041 27059757 41391493 42703661 63139433 66863181 79020123 99219109 117258947 124174479 128110983 189418299 289740451 297657327 333737003 351776841 694533763 820812629 869221353 1001211009 1289848417 2083601289 2336159021 2462437887 3671107033 3869545251 4338581039 7008477063 9028938919 11013321099 13015743117 25697749231 27086816757 30370067273 47724391429 77093247693 91110201819 143173174287 334070740003 1002212220009