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2001114030 = 23517313577
BaseRepresentation
bin111011101000110…
…1001001110101110
312011110110010101110
41313101221032232
513044241122110
6530322452450
7100406121456
oct16721511656
95143403343
102001114030
11937638653
1247a204126
1325b777456
1414daa8d66
15baa32a20
hex774693ae

2001114030 has 64 divisors (see below), whose sum is σ = 5103155520. Its totient is φ = 502203392.

The previous prime is 2001114023. The next prime is 2001114043. The reversal of 2001114030 is 304111002.

It is a happy number.

It is a super-2 number, since 2×20011140302 = 8008914722125681800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001113997 and 2001114015.

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, 140602 + ... + 154178.

It is an arithmetic number, because the mean of its divisors is an integer number (79736805).

Almost surely, 22001114030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001114030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551577760).

2001114030 is an abundant number, since it is smaller than the sum of its proper divisors (3102041490).

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

2001114030 is a wasteful number, since it uses less digits than its factorization.

2001114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13638 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2001114030 is about 44733.8130500855. The cubic root of 2001114030 is about 1260.1549381150.

Adding to 2001114030 its reverse (304111002), we get a palindrome (2305225032).

The spelling of 2001114030 in words is "two billion, one million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 4913 8670 9826 13577 14739 24565 27154 29478 40731 49130 67885 73695 81462 135770 147390 203655 230809 407310 461618 692427 1154045 1384854 2308090 3462135 3923753 6924270 7847506 11771259 19618765 23542518 39237530 58856295 66703801 117712590 133407602 200111403 333519005 400222806 667038010 1000557015 2001114030