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111112030302 = 237133137177421
BaseRepresentation
bin110011101111011001…
…0110000100001011110
3101121210120212222011120
41213132302300201132
53310024134432202
6123013312231410
711012313450210
oct1473662604136
9347716788146
10111112030302
1143138931a19
121964b23b566
13a629a005c0
145540b745b0
152d54a580bc
hex19decb085e

111112030302 has 128 divisors (see below), whose sum is σ = 289961484288. Its totient is φ = 27592358400.

The previous prime is 111112030261. The next prime is 111112030307. The reversal of 111112030302 is 203030211111.

It is a happy number.

It is a super-2 number, since 2×1111120303022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112030307) 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, 537552 + ... + 714972.

It is an arithmetic number, because the mean of its divisors is an integer number (2265324096).

Almost surely, 2111112030302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112030302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144980742144).

111112030302 is an abundant number, since it is smaller than the sum of its proper divisors (178849453986).

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

111112030302 is a wasteful number, since it uses less digits than its factorization.

111112030302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177514.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 111112030302 its reverse (203030211111), we get a palindrome (314142241413).

It can be divided in two parts, 11111 and 2030302, that multiplied together give a palindrome (22558685522).

The spelling of 111112030302 in words is "one hundred eleven billion, one hundred twelve million, thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 31 37 39 42 62 74 78 91 93 111 182 186 217 222 259 273 403 434 481 518 546 651 777 806 962 1147 1209 1302 1443 1554 2294 2418 2821 2886 3367 3441 5642 6734 6882 8029 8463 10101 14911 16058 16926 20202 24087 29822 44733 48174 89466 104377 177421 208754 313131 354842 532263 626262 1064526 1241947 2306473 2483894 3725841 4612946 5500051 6564577 6919419 7451682 11000102 13129154 13838838 16145311 16500153 19693731 32290622 33000306 38500357 39387462 45952039 48435933 71500663 77000714 85339501 91904078 96871866 115501071 137856117 143001326 170679002 203501887 214501989 231002142 256018503 275712234 407003774 429003978 500504641 512037006 597376507 610505661 1001009282 1194753014 1221011322 1424513209 1501513923 1792129521 2645524531 2849026418 3003027846 3584259042 4273539627 5291049062 7936573593 8547079254 15873147186 18518671717 37037343434 55556015151 111112030302