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1010323031100 = 2235253170937181
BaseRepresentation
bin11101011001110111111…
…00100000010000111100
310120120211011000201222020
432230323330200100330
5113023120143443400
62052045212520140
7132664514032425
oct16547374402074
93516734021866
101010323031100
1135a526014a59
12143983180050
1374371b88a76
1436c8545664c
151b432b822a0
hexeb3bf2043c

1010323031100 has 144 divisors (see below), whose sum is σ = 2980178943840. Its totient is φ = 264174310400.

The previous prime is 1010323031099. The next prime is 1010323031111. The reversal of 1010323031100 is 11303230101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010323031100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27154510 + ... + 27191690.

It is an arithmetic number, because the mean of its divisors is an integer number (20695687110).

Almost surely, 21010323031100 is an apocalyptic number.

1010323031100 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 1010323031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490089471920).

1010323031100 is an abundant number, since it is smaller than the sum of its proper divisors (1969855912740).

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

1010323031100 is a wasteful number, since it uses less digits than its factorization.

1010323031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38960 (or 38953 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1010323031100 its reverse (11303230101), we get a palindrome (1021626261201).

The spelling of 1010323031100 in words is "one trillion, ten billion, three hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 1709 2650 3180 3418 3975 5127 5300 6836 7950 8545 10254 15900 17090 20508 25635 34180 37181 42725 51270 74362 85450 90577 102540 111543 128175 148724 170900 181154 185905 223086 256350 271731 362308 371810 446172 452885 512700 543462 557715 743620 905770 929525 1086924 1115430 1358655 1811540 1859050 1970593 2230860 2264425 2717310 2788575 3718100 3941186 4528850 5434620 5577150 5911779 6793275 7882372 9057700 9852965 11154300 11823558 13586550 19705930 23647116 27173100 29558895 39411860 49264825 59117790 63542329 98529650 118235580 127084658 147794475 190626987 197059300 254169316 295588950 317711645 381253974 591177900 635423290 762507948 953134935 1270846580 1588558225 1906269870 3177116450 3367743437 3812539740 4765674675 6354232900 6735486874 9531349350 10103230311 13470973748 16838717185 19062698700 20206460622 33677434370 40412921244 50516151555 67354868740 84193585925 101032303110 168387171850 202064606220 252580757775 336774343700 505161515550 1010323031100