Search a number
-
+
1001410104310 = 2571153181135571
BaseRepresentation
bin11101001001010001011…
…00011000101111110110
310112201210222210010221121
432210220230120233312
5112401341441314220
62044012541534154
7132230606304220
oct16445054305766
93481728703847
101001410104310
11356771996160
121420b627435a
13735814744a5
143667b829410
151b0b0454eaa
hexe928b18bf6

1001410104310 has 128 divisors (see below), whose sum is σ = 2302389992448. Its totient is φ = 304544448000.

The previous prime is 1001410104269. The next prime is 1001410104313. The reversal of 1001410104310 is 134010141001.

It is a super-2 number, since 2×10014101043102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001410104313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7318825 + ... + 7454395.

It is an arithmetic number, because the mean of its divisors is an integer number (17987421816).

Almost surely, 21001410104310 is an apocalyptic number.

1001410104310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001410104310 is an abundant number, since it is smaller than the sum of its proper divisors (1300979888138).

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

1001410104310 is a wasteful number, since it uses less digits than its factorization.

1001410104310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135830.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1001410104310 its reverse (134010141001), we get a palindrome (1135420245311).

The spelling of 1001410104310 in words is "one trillion, one billion, four hundred ten million, one hundred four thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 53 55 70 77 106 110 154 181 265 362 371 385 530 583 742 770 905 1166 1267 1810 1855 1991 2534 2915 3710 3982 4081 5830 6335 8162 9593 9955 12670 13937 19186 19910 20405 27874 40810 47965 67151 69685 95930 105523 134302 135571 139370 211046 271142 335755 527615 671510 677855 738661 948997 1055230 1355710 1477322 1491281 1897994 2982562 3693305 4744985 7185263 7386610 7456405 9489970 10438967 14370526 14912810 20877934 24538351 35926315 49076702 50296841 52194835 71852630 79037893 100593682 104389670 122691755 158075786 171768457 245383510 251484205 269921861 343536914 395189465 502968410 539843722 553265251 790378930 858842285 1106530502 1300532603 1349609305 1717684570 1889453027 2601065206 2699218610 2766326255 3778906054 5532652510 6502663015 9103728221 9447265135 13005326030 14305858633 18207456442 18894530270 28611717266 45518641105 71529293165 91037282210 100141010431 143058586330 200282020862 500705052155 1001410104310