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1010021340 = 2235172833499
BaseRepresentation
bin111100001100111…
…011001111011100
32121101112101210210
4330030323033130
54032031140330
6244120132420
734013016426
oct7414731734
92541471723
101010021340
11479148a89
12242307110
13131338683
14981d9816
155da108b0
hex3c33b3dc

1010021340 has 96 divisors (see below), whose sum is σ = 3005856000. Its totient is φ = 252527616.

The previous prime is 1010021339. The next prime is 1010021351. The reversal of 1010021340 is 431200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286911 + ... + 290409.

It is an arithmetic number, because the mean of its divisors is an integer number (31311000).

Almost surely, 21010021340 is an apocalyptic number.

1010021340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502928000).

1010021340 is an abundant number, since it is smaller than the sum of its proper divisors (1995834660).

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

1010021340 is a wasteful number, since it uses less digits than its factorization.

1010021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1010021340 is about 31780.8329028677. The cubic root of 1010021340 is about 1003.3293497951.

Adding to 1010021340 its reverse (431200101), we get a palindrome (1441221441).

The spelling of 1010021340 in words is "one billion, ten million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 283 340 510 566 849 1020 1132 1415 1698 2830 3396 3499 4245 4811 5660 6998 8490 9622 10497 13996 14433 16980 17495 19244 20994 24055 28866 34990 41988 48110 52485 57732 59483 69980 72165 96220 104970 118966 144330 178449 209940 237932 288660 297415 356898 594830 713796 892245 990217 1189660 1784490 1980434 2970651 3568980 3960868 4951085 5941302 9902170 11882604 14853255 16833689 19804340 29706510 33667378 50501067 59413020 67334756 84168445 101002134 168336890 202004268 252505335 336673780 505010670 1010021340