Search a number
-
+
311031001130201 = 111771910271225227
BaseRepresentation
bin100011010111000011000110…
…0010101100010010011011001
31111210021021101020200211222222
41012232012030111202103121
5311231412442242131301
63021301400325353425
7122341151105141252
oct10656061425422331
91453237336624888
10311031001130201
11901165636383a0
122aa73a84b68875
13104721364356a1
1456b3da3379b29
1525e596b99831b
hex11ae18c5624d9

311031001130201 has 32 divisors (see below), whose sum is σ = 359802054328320. Its totient is φ = 265725598777600.

The previous prime is 311031001130177. The next prime is 311031001130209. The reversal of 311031001130201 is 102031100130113.

It is a cyclic number.

It is not a de Polignac number, because 311031001130201 - 214 = 311031001113817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311031001130201.

It is not an unprimeable number, because it can be changed into a prime (311031001130209) 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, 1380854150 + ... + 1381079376.

It is an arithmetic number, because the mean of its divisors is an integer number (11243814197760).

Almost surely, 2311031001130201 is an apocalyptic number.

It is an amenable number.

311031001130201 is a deficient number, since it is larger than the sum of its proper divisors (48771053198119).

311031001130201 is a wasteful number, since it uses less digits than its factorization.

311031001130201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236245.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 311031001130201 its reverse (102031100130113), we get a palindrome (413062101260314).

The spelling of 311031001130201 in words is "three hundred eleven trillion, thirty-one billion, one million, one hundred thirty thousand, two hundred one".

Divisors: 1 11 17 187 719 7909 10271 12223 112981 134453 174607 225227 1920677 2477497 3828859 7384849 42117449 81233339 125542433 161938213 1380966763 1781320343 2313306517 2752949621 25446371687 30282445831 39326210789 432588318679 1663267385723 18295941242953 28275545557291 311031001130201