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1013001330222 = 2357691430921
BaseRepresentation
bin11101011110110111001…
…01011001111000101110
310120211201210201102200000
432233123211121320232
5113044111320031342
62053211050045130
7133121055143610
oct16573345317056
93524653642600
101013001330222
1136067a929802
121443b01197a6
13746aaa14b4b
143705b03adb0
151b53cd7c44c
hexebdb959e2e

1013001330222 has 96 divisors (see below), whose sum is σ = 2605057937664. Its totient is φ = 289009425600.

The previous prime is 1013001330217. The next prime is 1013001330269. The reversal of 1013001330222 is 2220331003101.

1013001330222 is a `hidden beast` number, since 10 + 1 + 300 + 1 + 330 + 2 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1013001330195 and 1013001330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2135322 + ... + 2566242.

It is an arithmetic number, because the mean of its divisors is an integer number (27136020184).

Almost surely, 21013001330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013001330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302528968832).

1013001330222 is an abundant number, since it is smaller than the sum of its proper divisors (1592056607442).

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

1013001330222 is an equidigital number, since it uses as much as digits as its factorization.

1013001330222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431636 (or 431624 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013001330222 its reverse (2220331003101), we get a palindrome (3233332333323).

The spelling of 1013001330222 in words is "one trillion, thirteen billion, one million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 691 1134 1382 1701 2073 3402 4146 4837 6219 9674 12438 14511 18657 29022 37314 43533 55971 87066 111942 130599 167913 261198 335826 391797 430921 783594 861842 1175391 1292763 2350782 2585526 3016447 3878289 6032894 7756578 9049341 11634867 18098682 23269734 27148023 34904601 54296046 69809202 81444069 104713803 162888138 209427606 244332207 297766411 488664414 595532822 732996621 893299233 1465993242 1786598466 2084364877 2679897699 4168729754 5359795398 6253094631 8039693097 12506189262 16079386194 18759283893 24119079291 37518567786 48238158582 56277851679 72357237873 112555703358 144714475746 168833555037 337667110074 506500665111 1013001330222