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1031020144 = 24711899403
BaseRepresentation
bin111101011101000…
…001111001110000
32122212001020202021
4331131001321300
54102420121034
6250150201224
734356345430
oct7535017160
92585036667
101031020144
11489a90770
12249353214
131357ab5bb
149ad042c0
15607ac6b4
hex3d741e70

1031020144 has 80 divisors (see below), whose sum is σ = 2518767360. Its totient is φ = 397140480.

The previous prime is 1031020141. The next prime is 1031020157. The reversal of 1031020144 is 4410201301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031020141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104947 + ... + 114349.

It is an arithmetic number, because the mean of its divisors is an integer number (31484592).

Almost surely, 21031020144 is an apocalyptic number.

1031020144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259383680).

1031020144 is an abundant number, since it is smaller than the sum of its proper divisors (1487747216).

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

1031020144 is a wasteful number, since it uses less digits than its factorization.

1031020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1031020144 is about 32109.5023941512. The cubic root of 1031020144 is about 1010.2349366877.

Adding to 1031020144 its reverse (4410201301), we get a palindrome (5441221445).

The spelling of 1031020144 in words is "one billion, thirty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 616 623 712 979 1232 1246 1424 1958 2492 3916 4984 6853 7832 9403 9968 13706 15664 18806 27412 37612 54824 65821 75224 103433 109648 131642 150448 206866 263284 413732 526568 724031 827464 836867 1053136 1448062 1654928 1673734 2896124 3347468 5792248 5858069 6694936 9205537 11584496 11716138 13389872 18411074 23432276 36822148 46864552 64438759 73644296 93729104 128877518 147288592 257755036 515510072 1031020144