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100109900000 = 25551191009
BaseRepresentation
bin101110100111100000…
…0111101100011100000
3100120101211102211201002
41131033000331203200
53120011113300000
6113553450331132
710142550052445
oct1351700754340
9316354384632
10100109900000
1139502479650
121749a729aa8
13959550b426
144bb98ab9cc
15290dbe78d5
hex174f03d8e0

100109900000 has 144 divisors (see below), whose sum is σ = 268746705360. Its totient is φ = 36403200000.

The previous prime is 100109899991. The next prime is 100109900087. The reversal of 100109900000 is 9901001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054496 + ... + 1145504.

It is an arithmetic number, because the mean of its divisors is an integer number (1866296565).

Almost surely, 2100109900000 is an apocalyptic number.

100109900000 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 100109900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134373352680).

100109900000 is an abundant number, since it is smaller than the sum of its proper divisors (168636805360).

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

100109900000 is an frugal number, since it uses more digits than its factorization.

100109900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91055 (or 91027 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 100109900000 in words is "one hundred billion, one hundred nine million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 91009 100000 110000 137500 182018 220000 275000 364036 455045 550000 728072 910090 1001099 1100000 1456144 1820180 2002198 2275225 2912288 3640360 4004396 4550450 5005495 7280720 8008792 9100900 10010990 11376125 14561440 16017584 18201800 20021980 22752250 25027475 32035168 36403600 40043960 45504500 50054950 56880625 72807200 80087920 91009000 100109900 113761250 125137375 160175840 182018000 200219800 227522500 250274750 284403125 364036000 400439600 455045000 500549500 568806250 625686875 800879200 910090000 1001099000 1137612500 1251373750 1820180000 2002198000 2275225000 2502747500 3128434375 4004396000 4550450000 5005495000 6256868750 9100900000 10010990000 12513737500 20021980000 25027475000 50054950000 100109900000