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1004020401222 = 2331131289127649
BaseRepresentation
bin11101001110001000100…
…01111000010001000110
310112222112220111222011000
432213010101320101012
5112422213210314342
62045123545354130
7132352363412256
oct16470421702106
93488486458130
101004020401222
11357891383933
12142704498946
13738a91b1187
143684838b966
151b1b46bb44c
hexe9c4478446

1004020401222 has 64 divisors (see below), whose sum is σ = 2252665080000. Its totient is φ = 331451817984.

The previous prime is 1004020401221. The next prime is 1004020401233. The reversal of 1004020401222 is 2221040204001.

1004020401222 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 2 + 0 + 401 + 222 = 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 = 1004020401195 and 1004020401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004020401221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7801654 + ... + 7929302.

It is an arithmetic number, because the mean of its divisors is an integer number (35197891875).

Almost surely, 21004020401222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004020401222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126332540000).

1004020401222 is an abundant number, since it is smaller than the sum of its proper divisors (1248644678778).

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

1004020401222 is a wasteful number, since it uses less digits than its factorization.

1004020401222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129062 (or 129056 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1004020401222 its reverse (2221040204001), we get a palindrome (3225060605223).

The spelling of 1004020401222 in words is "one trillion, four billion, twenty million, four hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 1289 2034 2578 3051 3867 6102 7734 11601 23202 34803 69606 127649 145657 255298 291314 382947 436971 765894 873942 1148841 1310913 2297682 2621826 3446523 3932739 6893046 7865478 14424337 28848674 43273011 86546022 129819033 164539561 259638066 329079122 389457099 493618683 778914198 987237366 1480856049 2961712098 4442568147 8885136294 18592970393 37185940786 55778911179 111557822358 167336733537 334673467074 502010200611 1004020401222