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11302212112002 = 2327296175013139
BaseRepresentation
bin1010010001111000000001…
…0101101000111010000010
31111000110222121001122020200
42210132000111220322002
52440133412300041002
640012055313550030
72244362231562060
oct244360025507202
944013877048220
1011302212112002
1136682720a8749
12132653bb75316
1363ca42635276
142b105c3c9030
15148ee3178b1c
hexa4780568e82

11302212112002 has 96 divisors (see below), whose sum is σ = 28998408067200. Its totient is φ = 3112797752064.

The previous prime is 11302212111941. The next prime is 11302212112019. The reversal of 11302212112002 is 20021121220311.

11302212112002 is a `hidden beast` number, since 1 + 1 + 30 + 221 + 211 + 200 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252052 + ... + 4761087.

It is an arithmetic number, because the mean of its divisors is an integer number (302066750700).

Almost surely, 211302212112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11302212112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14499204033600).

11302212112002 is an abundant number, since it is smaller than the sum of its proper divisors (17696195955198).

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

11302212112002 is a wasteful number, since it uses less digits than its factorization.

11302212112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013800 (or 5013797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11302212112002 its reverse (20021121220311), we get a palindrome (31323333332313).

The spelling of 11302212112002 in words is "eleven trillion, three hundred two billion, two hundred twelve million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 617 1218 1234 1827 1851 3654 3702 4319 5553 8638 11106 12957 17893 25914 35786 38871 53679 77742 107358 125251 161037 250502 322074 375753 751506 1127259 2254518 5013139 10026278 15039417 30078834 35091973 45118251 70183946 90236502 105275919 145381031 210551838 290762062 315827757 436143093 631655514 872286186 1017667217 1308429279 2035334434 2616858558 3053001651 3093106763 6106003302 6186213526 9159004953 9279320289 18318009906 18558640578 21651747341 27837960867 43303494682 55675921734 64955242023 89700096127 129910484046 179400192254 194865726069 269100288381 389731452138 538200576762 627900672889 807300865143 1255801345778 1614601730286 1883702018667 3767404037334 5651106056001 11302212112002