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1011113488 = 2471117232099
BaseRepresentation
bin111100010001000…
…101111000010000
32121110120212221201
4330101011320100
54032321112423
6244155400544
734025215510
oct7421057020
92543525851
101011113488
11479824590
12242753154
1313162b808
1498401840
155db792ad
hex3c445e10

1011113488 has 160 divisors (see below), whose sum is σ = 2699827200. Its totient is φ = 354478080.

The previous prime is 1011113483. The next prime is 1011113497. The reversal of 1011113488 is 8843111101.

It is a super-2 number, since 2×10111134882 = 2044700971231052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1011113483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480663 + ... + 482761.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 21011113488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011113488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

1011113488 is an abundant number, since it is smaller than the sum of its proper divisors (1688713712).

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

1011113488 is a wasteful number, since it uses less digits than its factorization.

1011113488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The square root of 1011113488 is about 31798.0107553916. The cubic root of 1011113488 is about 1003.6908568165.

Adding to 1011113488 its reverse (8843111101), we get a palindrome (9854224589).

The spelling of 1011113488 in words is "one billion, eleven million, one hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 23 28 34 44 46 56 68 77 88 92 112 119 136 154 161 176 184 187 238 253 272 308 322 368 374 391 476 506 616 644 748 782 952 1012 1232 1288 1309 1496 1564 1771 1904 2024 2099 2576 2618 2737 2992 3128 3542 4048 4198 4301 5236 5474 6256 7084 8396 8602 10472 10948 14168 14693 16792 17204 20944 21896 23089 28336 29386 30107 33584 34408 35683 43792 46178 48277 58772 60214 68816 71366 92356 96554 117544 120428 142732 161623 184712 193108 235088 240856 249781 285464 323246 337939 369424 386216 392513 481712 499562 531047 570928 646492 675878 772432 785026 820709 999124 1062094 1292984 1351756 1570052 1641418 1998248 2124188 2585968 2703512 2747591 3140104 3282836 3717329 3996496 4248376 5407024 5495182 5744963 6280208 6565672 7434658 8496752 9027799 10990364 11489926 13131344 14869316 18055598 21980728 22979852 29738632 36111196 43961456 45959704 59477264 63194593 72222392 91919408 126389186 144444784 252778372 505556744 1011113488