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1000212131124 = 223263374384357
BaseRepresentation
bin11101000111000010100…
…10011110110100110100
310112121201111120210200100
432203201102132310310
5112341413301143444
62043254025114100
7132156121560063
oct16434122366464
93477644523610
101000212131124
11356207744178
12141a21028930
137342020c70b
14365a66a61da
151b0401b9e69
hexe8e149ed34

1000212131124 has 36 divisors (see below), whose sum is σ = 2528713551364. Its totient is φ = 333351355392.

The previous prime is 1000212131119. The next prime is 1000212131141. The reversal of 1000212131124 is 4211312120001.

1000212131124 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 506118416400 + 494093714724 = 711420^2 + 702918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10002121311242 (a number of 25 digits) contains 22 as substring.

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 = 1000212131097 and 1000212131106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1964047 + ... + 2420310.

Almost surely, 21000212131124 is an apocalyptic number.

It is an amenable number.

1000212131124 is an abundant number, since it is smaller than the sum of its proper divisors (1528501420240).

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

1000212131124 is a wasteful number, since it uses less digits than its factorization.

1000212131124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390704 (or 4390699 counting only the distinct ones).

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

Adding to 1000212131124 its reverse (4211312120001), we get a palindrome (5211524251125).

The spelling of 1000212131124 in words is "one trillion, two hundred twelve million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6337 12674 19011 25348 38022 57033 76044 114066 228132 4384357 8768714 13153071 17537428 26306142 39459213 52612284 78918426 157836852 27783670309 55567340618 83351010927 111134681236 166702021854 250053032781 333404043708 500106065562 1000212131124