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103331223020 = 22547674613559
BaseRepresentation
bin110000000111100000…
…1010101010111101100
3100212201022221000011002
41200033001111113230
53143110243114040
6115245242415432
710315433621654
oct1401701252754
9325638830132
10103331223020
113a905866283
1218039501578
139989a0461c
145003647364
152a4b908a15
hex180f0555ec

103331223020 has 96 divisors (see below), whose sum is σ = 225471375360. Its totient is φ = 39751683840.

The previous prime is 103331223011. The next prime is 103331223041. The reversal of 103331223020 is 20322133301.

It is a super-3 number, since 3×1033312230203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103331222983 and 103331223001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29032001 + ... + 29035559.

It is an arithmetic number, because the mean of its divisors is an integer number (2348660160).

Almost surely, 2103331223020 is an apocalyptic number.

103331223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103331223020 is an abundant number, since it is smaller than the sum of its proper divisors (122140152340).

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

103331223020 is a wasteful number, since it uses less digits than its factorization.

103331223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103331223020 its reverse (20322133301), we get a palindrome (123653356321).

The spelling of 103331223020 in words is "one hundred three billion, three hundred thirty-one million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 47 67 94 134 188 235 268 335 461 470 670 922 940 1340 1844 2305 3149 3559 4610 6298 7118 9220 12596 14236 15745 17795 21667 30887 31490 35590 43334 61774 62980 71180 86668 108335 123548 154435 167273 216670 238453 308870 334546 433340 476906 617740 669092 836365 953812 1192265 1451689 1640699 1672730 2384530 2903378 3281398 3345460 4769060 5806756 6562796 7258445 8203495 11207291 14516890 16406990 22414582 29033780 32813980 44829164 56036455 77112853 109926833 112072910 154225706 219853666 224145820 308451412 385564265 439707332 549634165 771128530 1099268330 1542257060 2198536660 5166561151 10333122302 20666244604 25832805755 51665611510 103331223020