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1021049029 = 711137389157
BaseRepresentation
bin111100110110111…
…111100011000101
32122011021122221201
4330312333203011
54042342032104
6245152342501
734205526220
oct7466774305
92564248851
101021049029
114843a0280
12245b44a31
131336c9c30
149986a5b7
155e98d0a4
hex3cdbf8c5

1021049029 has 64 divisors (see below), whose sum is σ = 1414264320. Its totient is φ = 711659520.

The previous prime is 1021049021. The next prime is 1021049033. The reversal of 1021049029 is 9209401201.

It is a happy number.

It is not a de Polignac number, because 1021049029 - 23 = 1021049021 is a prime.

It is a super-2 number, since 2×10210490292 = 2085082239243685682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021048988 and 1021049006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021049021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6503419 + ... + 6503575.

It is an arithmetic number, because the mean of its divisors is an integer number (22097880).

Almost surely, 21021049029 is an apocalyptic number.

It is an amenable number.

1021049029 is a deficient number, since it is larger than the sum of its proper divisors (393215291).

1021049029 is a wasteful number, since it uses less digits than its factorization.

1021049029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1021049029 is about 31953.8578109123. The cubic root of 1021049029 is about 1006.9676816553.

The spelling of 1021049029 in words is "one billion, twenty-one million, forty-nine thousand, twenty-nine".

Divisors: 1 7 11 13 73 77 89 91 143 157 511 623 803 949 979 1001 1099 1157 1727 2041 5621 6497 6643 6853 8099 10439 11461 12089 12727 13973 14287 22451 45479 71467 73073 80227 84461 89089 97811 126071 148993 153703 157157 181649 500269 591227 882497 929071 1020029 1042951 1075921 1271543 1638923 1998139 6503497 7140203 11220319 11472461 13260377 13986973 78542233 92822639 145864147 1021049029