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1021224213204 = 22313231871152123
BaseRepresentation
bin11101101110001011011…
…01001101101011010100
310121121221212112011112120
432313011231031223110
5113212431344310304
62101051031015540
7133531613405436
oct16670555155324
93547855464476
101021224213204
1136410a499468
12145b05b0a5b0
13753bb494990
14375db162656
151b86ec020d9
hexedc5b4dad4

1021224213204 has 96 divisors (see below), whose sum is σ = 2679173812224. Its totient is φ = 300398355840.

The previous prime is 1021224213187. The next prime is 1021224213209. The reversal of 1021224213204 is 4023124221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021224213209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637087 + ... + 6789209.

It is an arithmetic number, because the mean of its divisors is an integer number (27908060544).

Almost surely, 21021224213204 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 1021224213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339586906112).

1021224213204 is an abundant number, since it is smaller than the sum of its proper divisors (1657949599020).

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

1021224213204 is a wasteful number, since it uses less digits than its factorization.

1021224213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154037 (or 154035 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1021224213204 its reverse (4023124221201), we get a palindrome (5044348434405).

The spelling of 1021224213204 in words is "one trillion, twenty-one billion, two hundred twenty-four million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 1871 3588 3742 5613 7484 11226 22452 24323 43033 48646 72969 86066 97292 129099 145938 152123 172132 258198 291876 304246 456369 516396 559429 608492 912738 1118858 1678287 1825476 1977599 2237716 3356574 3498829 3955198 5932797 6713148 6997658 7910396 10496487 11865594 13995316 20992974 23731188 41985948 45484777 90969554 136454331 181939108 272908662 284622133 545817324 569244266 853866399 1138488532 1707732798 3415465596 3700087729 6546309059 7400175458 11100263187 13092618118 14800350916 19638927177 22200526374 26185236236 39277854354 44401052748 78555708708 85102017767 170204035534 255306053301 340408071068 510612106602 1021224213204