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2001250104 = 2337107163683
BaseRepresentation
bin111011101001000…
…1010011100111000
312011110201001001020
41313102022130320
513044310000404
6530325422440
7100410226260
oct16722123470
95143631036
102001250104
11937720907
1247a26aa20
1325b7c4379
1414db027a0
15baa5ced9
hex7748a738

2001250104 has 128 divisors (see below), whose sum is σ = 5815203840. Its totient is φ = 562142592.

The previous prime is 2001250103. The next prime is 2001250127. The reversal of 2001250104 is 4010521002.

2001250104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001250103) 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, 2929747 + ... + 2930429.

It is an arithmetic number, because the mean of its divisors is an integer number (45431280).

Almost surely, 22001250104 is an apocalyptic number.

2001250104 is a gapful number since it is divisible by the number (24) 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 2001250104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907601920).

2001250104 is an abundant number, since it is smaller than the sum of its proper divisors (3813953736).

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

2001250104 is a wasteful number, since it uses less digits than its factorization.

2001250104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2001250104 is about 44735.3339542693. Note that the first 3 decimals coincide. The cubic root of 2001250104 is about 1260.1835006114.

Adding to 2001250104 its reverse (4010521002), we get a palindrome (6011771106).

The spelling of 2001250104 in words is "two billion, one million, two hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 163 168 214 321 326 428 489 642 652 683 749 856 978 1141 1284 1304 1366 1498 1956 2049 2247 2282 2568 2732 2996 3423 3912 4098 4494 4564 4781 5464 5992 6846 8196 8988 9128 9562 13692 14343 16392 17441 17976 19124 27384 28686 34882 38248 52323 57372 69764 73081 104646 111329 114744 122087 139528 146162 209292 219243 222658 244174 292324 333987 366261 418584 438486 445316 488348 511567 584648 667974 732522 779303 876972 890632 976696 1023134 1335948 1465044 1534701 1558606 1753944 2046268 2337909 2671896 2930088 3069402 3117212 4092536 4675818 6138804 6234424 9351636 11912203 12277608 18703272 23824406 35736609 47648812 71473218 83385421 95297624 142946436 166770842 250156263 285892872 333541684 500312526 667083368 1000625052 2001250104