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1013455530 = 233537229443
BaseRepresentation
bin111100011010000…
…001101010101010
32121121222212122000
4330122001222222
54033421034110
6244321511430
734054141563
oct7432015252
92547885560
101013455530
1148008415a
122434a2576
13131c6b839
149885116a
155de8d1c0
hex3c681aaa

1013455530 has 128 divisors (see below), whose sum is σ = 2794003200. Its totient is φ = 261211392.

The previous prime is 1013455517. The next prime is 1013455537. The reversal of 1013455530 is 355543101.

1013455530 is a `hidden beast` number, since 101 + 3 + 4 + 5 + 553 + 0 = 666.

It is a super-2 number, since 2×10134555302 = 2054184222575161800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1013455494 and 1013455503.

It is not an unprimeable number, because it can be changed into a prime (1013455537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2287489 + ... + 2287931.

It is an arithmetic number, because the mean of its divisors is an integer number (21828150).

Almost surely, 21013455530 is an apocalyptic number.

1013455530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013455530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397001600).

1013455530 is an abundant number, since it is smaller than the sum of its proper divisors (1780547670).

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

1013455530 is a wasteful number, since it uses less digits than its factorization.

1013455530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1013455530 is about 31834.8163179874. The cubic root of 1013455530 is about 1004.4652089002.

Adding to 1013455530 its reverse (355543101), we get a palindrome (1368998631).

The spelling of 1013455530 in words is "one billion, thirteen million, four hundred fifty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 229 270 333 370 443 458 555 666 687 886 999 1110 1145 1329 1374 1665 1998 2061 2215 2290 2658 3330 3435 3987 4122 4430 4995 6183 6645 6870 7974 8473 9990 10305 11961 12366 13290 16391 16946 19935 20610 23922 25419 30915 32782 39870 42365 49173 50838 59805 61830 76257 81955 84730 98346 101447 119610 127095 147519 152514 163910 202894 228771 245865 254190 295038 304341 381285 442557 457542 491730 507235 608682 737595 762570 885114 913023 1014470 1143855 1475190 1521705 1826046 2212785 2287710 2739069 3043410 3753539 4425570 4565115 5478138 7507078 9130230 11260617 13695345 18767695 22521234 27390690 33781851 37535390 56303085 67563702 101345553 112606170 168909255 202691106 337818510 506727765 1013455530