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2001121276 = 22711411071481
BaseRepresentation
bin111011101000110…
…1010111111111100
312011110110111022211
41313101222333330
513044241340101
6530322550204
7100406151550
oct16721527774
95143414284
102001121276
11937643040
1247a208364
1325b77a83b
1414daab860
15baa34c51
hex7746affc

2001121276 has 96 divisors (see below), whose sum is σ = 4517420544. Its totient is φ = 753024000.

The previous prime is 2001121261. The next prime is 2001121313. The reversal of 2001121276 is 6721211002.

It is a happy number.

It is a super-2 number, since 2×20011212762 = 8008972722519736352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1350456 + ... + 1351936.

It is an arithmetic number, because the mean of its divisors is an integer number (47056464).

Almost surely, 22001121276 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 2001121276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

2001121276 is an abundant number, since it is smaller than the sum of its proper divisors (2516299268).

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

2001121276 is a wasteful number, since it uses less digits than its factorization.

2001121276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2001121276 is about 44733.8940402018. The cubic root of 2001121276 is about 1260.1564591131.

Adding to 2001121276 its reverse (6721211002), we get a palindrome (8722332278).

The spelling of 2001121276 in words is "two billion, one million, one hundred twenty-one thousand, two hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 107 154 164 214 287 308 428 451 574 749 902 1148 1177 1481 1498 1804 2354 2962 2996 3157 4387 4708 5924 6314 8239 8774 10367 12628 16291 16478 17548 20734 30709 32582 32956 41468 48257 60721 61418 65164 96514 114037 121442 122836 158467 193028 228074 242884 316934 337799 425047 456148 633868 667931 675598 850094 1109269 1335862 1351196 1700188 1743137 2218538 2671724 3486274 4437076 4675517 6497147 6972548 9351034 12201959 12994294 18702068 24403918 25988588 45480029 48807836 71468617 90960058 142937234 181920116 285874468 500280319 1000560638 2001121276