Search a number
-
+
3013013024300 = 2252191981716069
BaseRepresentation
bin101011110110000101100…
…100100010111000101100
3101200001010001120101220002
4223312011210202320230
5343331122313234200
610224054205443432
7430453162065326
oct53660544427054
911601101511802
103013013024300
11a618a2337514
12407b37b70578
1318b183811b96
14a5b8b292616
1553596db9bd5
hex2bd85922e2c

3013013024300 has 72 divisors (see below), whose sum is σ = 6573548432640. Its totient is φ = 1198698508800.

The previous prime is 3013013024297. The next prime is 3013013024303. The reversal of 3013013024300 is 34203103103.

It is an interprime number because it is at equal distance from previous prime (3013013024297) and next prime (3013013024303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3013013024303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187496666 + ... + 187512734.

Almost surely, 23013013024300 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 3013013024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286774216320).

3013013024300 is an abundant number, since it is smaller than the sum of its proper divisors (3560535408340).

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

3013013024300 is a wasteful number, since it uses less digits than its factorization.

3013013024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26091 (or 26084 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3013013024300 its reverse (34203103103), we get a palindrome (3047216127403).

The spelling of 3013013024300 in words is "three trillion, thirteen billion, thirteen million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 9817 16069 19100 19634 32138 39268 49085 64276 80345 98170 160690 196340 245425 321380 401725 490850 803450 981700 1606900 1875047 3069179 3750094 6138358 7500188 9375235 12276716 15345895 18750470 30691790 37500940 46876175 61383580 76729475 93752350 153458950 157749373 187504700 306917900 315498746 630997492 788746865 1577493730 3154987460 3943734325 7887468650 15774937300 30130130243 60260260486 120520520972 150650651215 301301302430 602602604860 753253256075 1506506512150 3013013024300