Search a number
-
+
1003220033010 = 2351317970920269
BaseRepresentation
bin11101001100101001001…
…00101101110111110010
310112220111010111001100220
432212110210231313302
5112414043312024020
62044512314553510
7132323504403246
oct16462444556762
93486433431326
101003220033010
113575106113a8
12142520438896
13737ac42c810
14367add68426
151b1692c0240
hexe99492ddf2

1003220033010 has 128 divisors (see below), whose sum is σ = 2611230048000. Its totient is φ = 245208425472.

The previous prime is 1003220033003. The next prime is 1003220033041. The reversal of 1003220033010 is 103300223001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 49485156 + ... + 49505424.

It is an arithmetic number, because the mean of its divisors is an integer number (20400234750).

Almost surely, 21003220033010 is an apocalyptic number.

1003220033010 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 1003220033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305615024000).

1003220033010 is an abundant number, since it is smaller than the sum of its proper divisors (1608010014990).

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

1003220033010 is a wasteful number, since it uses less digits than its factorization.

1003220033010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21180.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1003220033010 its reverse (103300223001), we get a palindrome (1106520256011).

The spelling of 1003220033010 in words is "one trillion, three billion, two hundred twenty million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 358 390 537 709 895 1074 1418 1790 2127 2327 2685 3545 4254 4654 5370 6981 7090 9217 10635 11635 13962 18434 20269 21270 23270 27651 34905 40538 46085 55302 60807 69810 92170 101345 121614 126911 138255 202690 253822 263497 276510 304035 380733 526994 608070 634555 761466 790491 1269110 1317485 1580982 1649843 1903665 2634970 3299686 3628151 3807330 3952455 4949529 7256302 7904910 8249215 9899058 10884453 14370721 16498430 18140755 21768906 24747645 28741442 36281510 43112163 47165963 49495290 54422265 71853605 86224326 94331926 108844530 141497889 143707210 186819373 215560815 235829815 282995778 373638746 431121630 471659630 560458119 707489445 934096865 1120916238 1414978890 1868193730 2572359059 2802290595 5144718118 5604581190 7717077177 12861795295 15434154354 25723590590 33440667767 38585385885 66881335534 77170771770 100322003301 167203338835 200644006602 334406677670 501610016505 1003220033010