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103028977380 = 22357457536777
BaseRepresentation
bin101111111110100000…
…0010110111011100100
3100211221021012100002010
41133331000112323210
53142000404234010
6115155244314220
710305103600230
oct1377500267344
9324837170063
10103028977380
113a77019869a
1217b74242970
13993c1cb654
144db544b5c0
152a30104620
hex17fd016ee4

103028977380 has 96 divisors (see below), whose sum is σ = 330414771456. Its totient is φ = 23497906176.

The previous prime is 103028977361. The next prime is 103028977393. The reversal of 103028977380 is 83779820301.

It is a super-4 number, since 4×1030289773804 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 76449 + ... + 460328.

It is an arithmetic number, because the mean of its divisors is an integer number (3441820536).

Almost surely, 2103028977380 is an apocalyptic number.

103028977380 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 103028977380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165207385728).

103028977380 is an abundant number, since it is smaller than the sum of its proper divisors (227385794076).

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

103028977380 is a wasteful number, since it uses less digits than its factorization.

103028977380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537253 (or 537251 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 103028977380 in words is "one hundred three billion, twenty-eight million, nine hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 457 914 1371 1828 2285 2742 3199 4570 5484 6398 6855 9140 9597 12796 13710 15995 19194 27420 31990 38388 47985 63980 95970 191940 536777 1073554 1610331 2147108 2683885 3220662 3757439 5367770 6441324 7514878 8051655 10735540 11272317 15029756 16103310 18787195 22544634 32206620 37574390 45089268 56361585 75148780 112723170 225446340 245307089 490614178 735921267 981228356 1226535445 1471842534 1717149623 2453070890 2943685068 3434299246 3679606335 4906141780 5151448869 6868598492 7359212670 8585748115 10302897738 14718425340 17171496230 20605795476 25757244345 34342992460 51514488690 103028977380