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1220340643236 = 22321113653363019
BaseRepresentation
bin10001110000100001111…
…110000111010110100100
311022122220122012211220100
4101300201332013112210
5124443224201040421
62332341115104100
7154111115213631
oct21604176072644
94278818184810
101220340643236
114305a852a450
12178615742030
138b101720990
14430c9b63188
1521b257e2c26
hex11c21f875a4

1220340643236 has 144 divisors (see below), whose sum is σ = 3629601743040. Its totient is φ = 340830339840.

The previous prime is 1220340643219. The next prime is 1220340643259. The reversal of 1220340643236 is 6323460430221.

1220340643236 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 3 + 4 + 0 + 643 + 2 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1220340643236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3180135 + ... + 3543153.

It is an arithmetic number, because the mean of its divisors is an integer number (25205567660).

Almost surely, 21220340643236 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 1220340643236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814800871520).

1220340643236 is an abundant number, since it is smaller than the sum of its proper divisors (2409261099804).

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

1220340643236 is a wasteful number, since it uses less digits than its factorization.

1220340643236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363706 (or 363701 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 1220340643236 in words is "one trillion, two hundred twenty billion, three hundred forty million, six hundred forty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 653 858 1287 1306 1716 1959 2574 2612 3918 5148 5877 7183 7836 8489 11754 14366 16978 21549 23508 25467 28732 33956 43098 50934 64647 76401 86196 93379 101868 129294 152802 186758 258588 280137 305604 363019 373516 560274 726038 840411 1089057 1120548 1452076 1680822 2178114 3267171 3361644 3993209 4356228 4719247 6534342 7986418 9438494 11979627 13068684 14157741 15972836 18876988 23959254 28315482 35938881 42473223 47918508 51911717 56630964 71877762 84946446 103823434 143755524 155735151 169892892 207646868 237051407 311470302 467205453 474102814 622940604 711154221 934410906 948205628 1422308442 1868821812 2133462663 2607565477 2844616884 3081668291 4266925326 5215130954 6163336582 7822696431 8533850652 9245004873 10430261908 12326673164 15645392862 18490009746 23468089293 27735014619 31290785724 33898351201 36980019492 46936178586 55470029238 67796702402 93872357172 101695053603 110940058476 135593404804 203390107206 305085160809 406780214412 610170321618 1220340643236