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1013121122202 = 233728387710799
BaseRepresentation
bin11101011111000101011…
…10010111111110011010
310120212001011010111101000
432233202232113332122
5113044333001402302
62053231005405430
7133124041310430
oct16574256277632
93525034114330
101013121122202
11360731509242
12144424269876
13746c9798187
143706cd00d50
151b54864131c
hexebe2b97f9a

1013121122202 has 128 divisors (see below), whose sum is σ = 2585281536000. Its totient is φ = 288084765888.

The previous prime is 1013121122191. The next prime is 1013121122203. The reversal of 1013121122202 is 2022211213101.

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

It is not an unprimeable number, because it can be changed into a prime (1013121122203) 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, 93810799 + ... + 93821597.

It is an arithmetic number, because the mean of its divisors is an integer number (20197512000).

Almost surely, 21013121122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013121122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292640768000).

1013121122202 is an abundant number, since it is smaller than the sum of its proper divisors (1572160413798).

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

1013121122202 is a wasteful number, since it uses less digits than its factorization.

1013121122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11977 (or 11971 counting only the distinct ones).

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

Adding to 1013121122202 its reverse (2022211213101), we get a palindrome (3035332335303).

The spelling of 1013121122202 in words is "one trillion, thirteen billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 283 378 566 849 877 1698 1754 1981 2547 2631 3962 5094 5262 5943 6139 7641 7893 10799 11886 12278 15282 15786 17829 18417 21598 23679 32397 35658 36834 47358 53487 55251 64794 75593 97191 106974 110502 151186 165753 194382 226779 248191 291573 331506 453558 496382 583146 680337 744573 1360674 1489146 1737337 2041011 2233719 3056117 3474674 4082022 4467438 5212011 6112234 6701157 9168351 9470723 10424022 13402314 15636033 18336702 18941446 21392819 27505053 28412169 31272066 42785638 46908099 55010106 56824338 64178457 66295061 82515159 85236507 93816198 128356914 132590122 165030318 170473014 192535371 198885183 255709521 385070742 397770366 511419042 577606113 596655549 1155212226 1193311098 1789966647 2680214609 3579933294 5360429218 8040643827 16081287654 18761502263 24121931481 37523004526 48243862962 56284506789 72365794443 112569013578 144731588886 168853520367 337707040734 506560561101 1013121122202