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2021000112 = 243331229659
BaseRepresentation
bin111100001110110…
…0000001110110000
312012211212102222000
41320131200032300
513114334000422
6532313014000
7101040134415
oct17035401660
95184772860
102021000112
1194789032a
124849b4300
1326291aa71
141525a410c
15bc65ecac
hex787603b0

2021000112 has 160 divisors (see below), whose sum is σ = 6023424000. Its totient is φ = 648103680.

The previous prime is 2021000083. The next prime is 2021000119. The reversal of 2021000112 is 2110001202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2021000094 and 2021000103.

It is not an unprimeable number, because it can be changed into a prime (2021000119) 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, 3066439 + ... + 3067097.

It is an arithmetic number, because the mean of its divisors is an integer number (37646400).

Almost surely, 22021000112 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 2021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011712000).

2021000112 is an abundant number, since it is smaller than the sum of its proper divisors (4002423888).

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

2021000112 is a wasteful number, since it uses less digits than its factorization.

2021000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2021000112 is about 44955.5348316534. The cubic root of 2021000112 is about 1264.3154522984.

Adding to 2021000112 its reverse (2110001202), we get a palindrome (4131001314).

The spelling of 2021000112 in words is "two billion, twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 229 248 279 372 432 458 496 558 659 687 744 837 916 1116 1318 1374 1488 1674 1832 1977 2061 2232 2636 2748 3348 3664 3954 4122 4464 5272 5496 5931 6183 6696 7099 7908 8244 10544 10992 11862 12366 13392 14198 15816 16488 17793 20429 21297 23724 24732 28396 31632 32976 35586 40858 42594 47448 49464 56792 61287 63891 71172 81716 85188 94896 98928 113584 122574 127782 142344 150911 163432 170376 183861 191673 245148 255564 284688 301822 326864 340752 367722 383346 452733 490296 511128 551583 603644 735444 766692 905466 980592 1022256 1103166 1207288 1358199 1470888 1533384 1810932 2206332 2414576 2716398 2941776 3066768 3621864 4074597 4412664 4678241 5432796 7243728 8149194 8825328 9356482 10865592 14034723 16298388 18712964 21731184 28069446 32596776 37425928 42104169 56138892 65193552 74851856 84208338 112277784 126312507 168416676 224555568 252625014 336833352 505250028 673666704 1010500056 2021000112