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311001211020 = 223521943236219
BaseRepresentation
bin1001000011010010001…
…11011110000010001100
31002201202012122110012010
410201221013132002030
520043412302223040
6354512203141220
731316620451013
oct4415107360214
91081665573163
10311001211020
1110a993091a35
1250335814810
132343408b526
14110a4249a7a
1581533dbe80
hex48691de08c

311001211020 has 48 divisors (see below), whose sum is σ = 870846762240. Its totient is φ = 82929525696.

The previous prime is 311001210997. The next prime is 311001211033. The reversal of 311001211020 is 20112100113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311001210987 and 311001211005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198471 + ... + 1434689.

It is an arithmetic number, because the mean of its divisors is an integer number (18142640880).

Almost surely, 2311001211020 is an apocalyptic number.

311001211020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311001211020 is an abundant number, since it is smaller than the sum of its proper divisors (559845551220).

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

311001211020 is a wasteful number, since it uses less digits than its factorization.

311001211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258174 (or 258172 counting only the distinct ones).

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

Adding to 311001211020 its reverse (20112100113), we get a palindrome (331113311133).

The spelling of 311001211020 in words is "three hundred eleven billion, one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 21943 43886 65829 87772 109715 131658 219430 236219 263316 329145 438860 472438 658290 708657 944876 1181095 1316580 1417314 2362190 2834628 3543285 4724380 7086570 14173140 5183353517 10366707034 15550060551 20733414068 25916767585 31100121102 51833535170 62200242204 77750302755 103667070340 155500605510 311001211020