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103820955940 = 2251316311032221
BaseRepresentation
bin110000010110000110…
…1100001000100100100
3100220222110110000102101
41200230031201010210
53200111131042230
6115410015221444
710333531364512
oct1405415410444
9326873400371
10103820955940
114003724a929
1218155517884
139a37303410
14504c6c94b2
152a798e4aca
hex182c361124

103820955940 has 96 divisors (see below), whose sum is σ = 236556182016. Its totient is φ = 38047034880.

The previous prime is 103820955913. The next prime is 103820955967. The reversal of 103820955940 is 49559028301.

It is an interprime number because it is at equal distance from previous prime (103820955913) and next prime (103820955967).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46744030 + ... + 46746250.

It is an arithmetic number, because the mean of its divisors is an integer number (2464126896).

Almost surely, 2103820955940 is an apocalyptic number.

103820955940 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 103820955940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118278091008).

103820955940 is an abundant number, since it is smaller than the sum of its proper divisors (132735226076).

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

103820955940 is a wasteful number, since it uses less digits than its factorization.

103820955940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 103820955940 in words is "one hundred three billion, eight hundred twenty million, nine hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1103 1630 2119 2206 2221 3260 4238 4412 4442 5515 8476 8884 10595 11030 11105 14339 21190 22060 22210 28678 28873 42380 44420 57356 57746 71695 115492 143390 144365 179789 286780 288730 359578 362023 577460 719156 724046 898945 1448092 1797890 1810115 2337257 2449763 3595780 3620230 4674514 4706299 4899526 7240460 9349028 9412598 9799052 11686285 12248815 18825196 23372570 23531495 24497630 31846919 46745140 47062990 48995260 63693838 94125980 127387676 159234595 318469190 399311369 636938380 798622738 1597245476 1996556845 3993113690 5191047797 7986227380 10382095594 20764191188 25955238985 51910477970 103820955940