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981031122 = 233103233757
BaseRepresentation
bin111010011110010…
…101100011010010
32112100222112201000
4322132111203102
54002120443442
6241202522430
733211425021
oct7236254322
92470875630
10981031122
11463848225
12234666416
131283281b6
14944108b8
155b1d5d4c
hex3a7958d2

981031122 has 64 divisors (see below), whose sum is σ = 2213602560. Its totient is φ = 322019712.

The previous prime is 981031109. The next prime is 981031127. The reversal of 981031122 is 221130189.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (981031127) 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, 1295568 + ... + 1296324.

It is an arithmetic number, because the mean of its divisors is an integer number (34587540).

Almost surely, 2981031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106801280).

981031122 is an abundant number, since it is smaller than the sum of its proper divisors (1232571438).

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

981031122 is a wasteful number, since it uses less digits than its factorization.

981031122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 981031122 is about 31321.4163472854. The cubic root of 981031122 is about 993.6366341309.

It can be divided in two parts, 98103 and 1122, that added together give a square (99225 = 3152).

The spelling of 981031122 in words is "nine hundred eighty-one million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 233 309 466 618 699 757 927 1398 1514 1854 2097 2271 2781 4194 4542 5562 6291 6813 12582 13626 20439 23999 40878 47998 71997 77971 143994 155942 176381 215991 233913 352762 431982 467826 529143 647973 701739 1058286 1295946 1403478 1587429 2105217 3174858 4210434 4762287 9524574 18167243 36334486 54501729 109003458 163505187 327010374 490515561 981031122