Search a number
-
+
1030100010 = 2351929101617
BaseRepresentation
bin111101011001100…
…001010000101010
32122210022111120020
4331121201100222
54102201200020
6250114341310
734345464012
oct7531412052
92583274506
101030100010
11489512425
12248b8a836
13135548844
149ab44c42
1560679c40
hex3d66142a

1030100010 has 128 divisors (see below), whose sum is σ = 2723155200. Its totient is φ = 248371200.

The previous prime is 1030100003. The next prime is 1030100033. The reversal of 1030100010 is 100010301.

It is a super-2 number, since 2×10301000102 = 2122212061204000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1669222 + ... + 1669838.

It is an arithmetic number, because the mean of its divisors is an integer number (21274650).

Almost surely, 21030100010 is an apocalyptic number.

1030100010 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 1030100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361577600).

1030100010 is an abundant number, since it is smaller than the sum of its proper divisors (1693055190).

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

1030100010 is a wasteful number, since it uses less digits than its factorization.

1030100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1030100010 is about 32095.1711321189. The cubic root of 1030100010 is about 1009.9343191612.

Adding to 1030100010 its reverse (100010301), we get a palindrome (1130110311).

The spelling of 1030100010 in words is "one billion, thirty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 101 114 145 174 190 202 285 290 303 435 505 551 570 606 617 870 1010 1102 1234 1515 1653 1851 1919 2755 2929 3030 3085 3306 3702 3838 5510 5757 5858 6170 8265 8787 9255 9595 11514 11723 14645 16530 17574 17893 18510 19190 23446 28785 29290 35169 35786 43935 53679 55651 57570 58615 62317 70338 87870 89465 107358 111302 117230 124634 166953 175845 178930 186951 268395 278255 311585 333906 339967 351690 373902 536790 556510 623170 679934 834765 934755 1019901 1184023 1669530 1699835 1807193 1869510 2039802 2368046 3399670 3552069 3614386 5099505 5421579 5920115 7104138 9035965 10199010 10843158 11840230 17760345 18071930 27107895 34336667 35520690 54215790 68673334 103010001 171683335 206020002 343366670 515050005 1030100010