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104055211320 = 23353129395467
BaseRepresentation
bin110000011101000101…
…1001000010100111000
3100221120210020102101120
41200322023020110320
53201101113230240
6115445144145240
710342404463014
oct1407213102470
9327523212346
10104055211320
11401474aa415
12181bba68220
139a739c2578
145071867544
152a90268ad0
hex183a2c8538

104055211320 has 128 divisors (see below), whose sum is σ = 323338659840. Its totient is φ = 26761029120.

The previous prime is 104055211313. The next prime is 104055211331. The reversal of 104055211320 is 23112550401.

It is a happy number.

It is a super-2 number, since 2×1040552113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042227 + ... + 1137693.

It is an arithmetic number, because the mean of its divisors is an integer number (2526083280).

Almost surely, 2104055211320 is an apocalyptic number.

104055211320 is a gapful number since it is divisible by the number (10) 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 104055211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161669329920).

104055211320 is an abundant number, since it is smaller than the sum of its proper divisors (219283448520).

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

104055211320 is a wasteful number, since it uses less digits than its factorization.

104055211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95805 (or 95801 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 104055211320 its reverse (23112550401), we get a palindrome (127167761721).

The spelling of 104055211320 in words is "one hundred four billion, fifty-five million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 293 310 372 465 586 620 744 879 930 1172 1240 1465 1758 1860 2344 2930 3516 3720 4395 5860 7032 8790 9083 11720 17580 18166 27249 35160 36332 45415 54498 72664 90830 95467 108996 136245 181660 190934 217992 272490 286401 363320 381868 477335 544980 572802 763736 954670 1089960 1145604 1432005 1909340 2291208 2864010 2959477 3818680 5728020 5918954 8878431 11456040 11837908 14797385 17756862 23675816 27971831 29594770 35513724 44392155 55943662 59189540 71027448 83915493 88784310 111887324 118379080 139859155 167830986 177568620 223774648 279718310 335661972 355137240 419577465 559436620 671323944 839154930 867126761 1118873240 1678309860 1734253522 2601380283 3356619720 3468507044 4335633805 5202760566 6937014088 8671267610 10405521132 13006901415 17342535220 20811042264 26013802830 34685070440 52027605660 104055211320