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1031211990 = 23255324079
BaseRepresentation
bin111101011101110…
…000101111010110
32122212101222220200
4331131300233112
54102442240430
6250154241330
734361104644
oct7535605726
92585358820
101031211990
1148a101916
12249426246
13135847a13
149ad54194
15607e9460
hex3d770bd6

1031211990 has 72 divisors (see below), whose sum is σ = 2733363360. Its totient is φ = 269735232.

The previous prime is 1031211983. The next prime is 1031211997. The reversal of 1031211990 is 991121301.

1031211990 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1031211983) and next prime (1031211997).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031211997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250771 + ... + 254849.

It is an arithmetic number, because the mean of its divisors is an integer number (37963380).

Almost surely, 21031211990 is an apocalyptic number.

1031211990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031211990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366681680).

1031211990 is an abundant number, since it is smaller than the sum of its proper divisors (1702151370).

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

1031211990 is a wasteful number, since it uses less digits than its factorization.

1031211990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1031211990 is about 32112.4896263121. The cubic root of 1031211990 is about 1010.2975922731.

It can be divided in two parts, 103121 and 1990, that added together give a triangular number (105111 = T458).

The spelling of 1031211990 in words is "one billion, thirty-one million, two hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 2809 4079 4770 5618 8158 8427 12237 14045 16854 20395 24474 25281 28090 36711 40790 42135 50562 61185 73422 84270 122370 126405 183555 216187 252810 367110 432374 648561 1080935 1297122 1945683 2161870 3242805 3891366 6485610 9728415 11457911 19456830 22915822 34373733 57289555 68747466 103121199 114579110 171868665 206242398 343737330 515605995 1031211990