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21131001032 = 23293710124373
BaseRepresentation
bin10011101011100000…
…010111110011001000
32000112122201001222212
4103223200113303020
5321234014013112
613412450404252
71345434355001
oct235340276310
960478631885
1021131001032
118a63998919
124118890688
131cb9ac110b
1410465b41a8
1583a1c7522
hex4eb817cc8

21131001032 has 64 divisors (see below), whose sum is σ = 42513130800. Its totient is φ = 9826790400.

The previous prime is 21131000939. The next prime is 21131001041. The reversal of 21131001032 is 23010013112.

It can be written as a sum of positive squares in 8 ways, for example, as 18693999076 + 2437001956 = 136726^2 + 49366^2 .

It is a super-2 number, since 2×211310010322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21131000998 and 21131001016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 854798 + ... + 879170.

Almost surely, 221131001032 is an apocalyptic number.

It is an amenable number.

21131001032 is an abundant number, since it is smaller than the sum of its proper divisors (21382129768).

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

21131001032 is a wasteful number, since it uses less digits than its factorization.

21131001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24546 (or 24542 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21131001032 its reverse (23010013112), we get a palindrome (44141014144).

The spelling of 21131001032 in words is "twenty-one billion, one hundred thirty-one million, one thousand, thirty-two".

Divisors: 1 2 4 8 29 37 58 74 101 116 148 202 232 296 404 808 1073 2146 2929 3737 4292 5858 7474 8584 11716 14948 23432 24373 29896 48746 97492 108373 194984 216746 433492 706817 866984 901801 1413634 1803602 2461673 2827268 3607204 4923346 5654536 7214408 9846692 19693384 26152229 52304458 71388517 91081901 104608916 142777034 182163802 209217832 285554068 364327604 571108136 728655208 2641375129 5282750258 10565500516 21131001032