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3103007297920 = 27567465115559
BaseRepresentation
bin101101001001111001101…
…001011101000110000000
3101222122101220200011220021
4231021321221131012000
5401314424332013140
610333300223223224
7440120261562025
oct55117151350600
911878356604807
103103007297920
11a96a837a7262
12421472a47b14
131967c63aa86a
14aa2874dd54c
1555ab29b4b4a
hex2d279a5d180

3103007297920 has 128 divisors (see below), whose sum is σ = 7530947884800. Its totient is φ = 1222336051200.

The previous prime is 3103007297911. The next prime is 3103007297939. The reversal of 3103007297920 is 297927003013.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×31030072979203 (a number of 38 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199427101 + ... + 199442659.

It is an arithmetic number, because the mean of its divisors is an integer number (58835530350).

Almost surely, 23103007297920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3103007297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765473942400).

3103007297920 is an abundant number, since it is smaller than the sum of its proper divisors (4427940586880).

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

3103007297920 is a wasteful number, since it uses less digits than its factorization.

3103007297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20296 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The spelling of 3103007297920 in words is "three trillion, one hundred three billion, seven million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 1072 1340 2144 2680 4288 4651 5360 8576 9302 10720 15559 18604 21440 23255 31118 37208 42880 46510 62236 74416 77795 93020 124472 148832 155590 186040 248944 297664 311180 311617 372080 497888 595328 622360 623234 744160 995776 1042453 1244720 1246468 1488320 1558085 1991552 2084906 2489440 2492936 2976640 3116170 4169812 4978880 4985872 5212265 6232340 8339624 9957760 9971744 10424530 12464680 16679248 19943488 20849060 24929360 33358496 39886976 41698120 49858720 66716992 72364909 83396240 99717440 133433984 144729818 166792480 199434880 289459636 333584960 361824545 578919272 667169920 723649090 1157838544 1447298180 2315677088 2894596360 4631354176 4848448903 5789192720 9262708352 9696897806 11578385440 19393795612 23156770880 24242244515 38787591224 46313541760 48484489030 77575182448 96968978060 155150364896 193937956120 310300729792 387875912240 620601459584 775751824480 1551503648960 3103007297920