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103013211223110 = 23523599677368153
BaseRepresentation
bin10111011011000010100001…
…110111001011010001000110
3111111201222002210211110211110
4113123002201313023101012
5102000232024033114420
61003031341012345450
730461313256013646
oct2733024167132106
9444658083743743
10103013211223110
112a906726206361
12b678798015286
134563147a31316
141b61c1a538526
15bd9923c89ee0
hex5db0a1dcb446

103013211223110 has 128 divisors (see below), whose sum is σ = 258794001561600. Its totient is φ = 26193148906496.

The previous prime is 103013211223093. The next prime is 103013211223171. The reversal of 103013211223110 is 11322112310301.

It is a super-2 number, since 2×1030132112231102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279626794 + ... + 279994946.

It is an arithmetic number, because the mean of its divisors is an integer number (2021828137200).

Almost surely, 2103013211223110 is an apocalyptic number.

103013211223110 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 103013211223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129397000780800).

103013211223110 is an abundant number, since it is smaller than the sum of its proper divisors (155780790338490).

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

103013211223110 is a wasteful number, since it uses less digits than its factorization.

103013211223110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369462.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103013211223110 its reverse (11322112310301), we get a palindrome (114335323533411).

The spelling of 103013211223110 in words is "one hundred three trillion, thirteen billion, two hundred eleven million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 599 677 690 1198 1354 1797 2031 2995 3385 3594 4062 5990 6770 8985 10155 13777 15571 17970 20310 27554 31142 41331 46713 68885 77855 82662 93426 137770 155710 206655 233565 368153 405523 413310 467130 736306 811046 1104459 1216569 1840765 2027615 2208918 2433138 3681530 4055230 5522295 6082845 8467519 9327029 11044590 12165690 16935038 18654058 25402557 27981087 42337595 46635145 50805114 55962174 84675190 93270290 127012785 139905435 220523647 249239581 254025570 279810870 441047294 498479162 661570941 747718743 1102618235 1246197905 1323141882 1495437486 2205236470 2492395810 3307854705 3738593715 5072043881 5732510363 6615709410 7477187430 10144087762 11465020726 15216131643 17197531089 25360219405 28662551815 30432263286 34395062178 50720438810 57325103630 76080658215 85987655445 149294509019 152161316430 171975310890 298589018038 447883527057 746472545095 895767054114 1492945090190 2239417635285 3433773707437 4478835270570 6867547414874 10301321122311 17168868537185 20602642244622 34337737074370 51506605611555 103013211223110