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101330112323000 = 23531135172619229
BaseRepresentation
bin10111000010100011000001…
…010110011001110110111000
3111021210001201202022111002002
4113002203001112121312320
5101240143032223314000
6555302224434000132
730225600434301041
oct2702430126316670
9437701652274062
10101330112323000
112a31794a810320
12b446555716048
134470508971c92
141b045916c38c8
15baac671098d5
hex5c28c1599db8

101330112323000 has 128 divisors (see below), whose sum is σ = 258741788011200. Its totient is φ = 36836822592000.

The previous prime is 101330112322969. The next prime is 101330112323003. The reversal of 101330112323000 is 323211033101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330112323003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37377386 + ... + 39996614.

Almost surely, 2101330112323000 is an apocalyptic number.

101330112323000 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 101330112323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129370894005600).

101330112323000 is an abundant number, since it is smaller than the sum of its proper divisors (157411675688200).

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

101330112323000 is a wasteful number, since it uses less digits than its factorization.

101330112323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622778 (or 2622764 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101330112323000 its reverse (323211033101), we get a palindrome (101653323356101).

The spelling of 101330112323000 in words is "one hundred one trillion, three hundred thirty billion, one hundred twelve million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3517 5500 7034 11000 14068 17585 28136 35170 38687 70340 77374 87925 140680 154748 175850 193435 309496 351700 386870 439625 703400 773740 879250 967175 1547480 1758500 1934350 2619229 3517000 3868700 4835875 5238458 7737400 9671750 10476916 13096145 19343500 20953832 26192290 28811519 38687000 52384580 57623038 65480725 104769160 115246076 130961450 144057595 230492152 261922900 288115190 327403625 523845800 576230380 654807250 720287975 1152460760 1309614500 1440575950 2619229000 2881151900 3601439875 5762303800 7202879750 9211828393 14405759500 18423656786 28811519000 36847313572 46059141965 73694627144 92118283930 101330112323 184236567860 202660224646 230295709825 368473135720 405320449292 460591419650 506650561615 810640898584 921182839300 1013301123230 1151478549125 1842365678600 2026602246460 2302957098250 2533252808075 4053204492920 4605914196500 5066505616150 9211828393000 10133011232300 12666264040375 20266022464600 25332528080750 50665056161500 101330112323000