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1999100100 = 2235231434999
BaseRepresentation
bin111011100100111…
…1101100011000100
312011022122210210110
41313021331203010
513043232200400
6530211353020
7100353033114
oct16711754304
95138583713
101999100100
11936492548
124795b2770
1325b22088a
1414d703044
15ba785e50
hex7727d8c4

1999100100 has 144 divisors (see below), whose sum is σ = 6110720000. Its totient is φ = 503798400.

The previous prime is 1999100011. The next prime is 1999100101. The reversal of 1999100100 is 10019991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1999100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397401 + ... + 402399.

Almost surely, 21999100100 is an apocalyptic number.

1999100100 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 1999100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055360000).

1999100100 is an abundant number, since it is smaller than the sum of its proper divisors (4111619900).

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

1999100100 is a wasteful number, since it uses less digits than its factorization.

1999100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The square root of 1999100100 is about 44711.2972301185. The cubic root of 1999100100 is about 1259.7320543871.

The spelling of 1999100100 in words is "one billion, nine hundred ninety-nine million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 43 50 60 62 75 86 93 100 124 129 150 155 172 186 215 258 300 310 372 430 465 516 620 645 775 860 930 1075 1290 1333 1550 1860 2150 2325 2580 2666 3100 3225 3999 4300 4650 4999 5332 6450 6665 7998 9300 9998 12900 13330 14997 15996 19995 19996 24995 26660 29994 33325 39990 49990 59988 66650 74985 79980 99975 99980 124975 133300 149970 154969 199950 214957 249950 299940 309938 374925 399900 429914 464907 499900 619876 644871 749850 774845 859828 929814 1074785 1289742 1499700 1549690 1859628 2149570 2324535 2579484 3099380 3224355 3874225 4299140 4649070 5373925 6448710 6663667 7748450 9298140 10747850 11622675 12897420 13327334 15496900 16121775 19991001 21495700 23245350 26654668 32243550 33318335 39982002 46490700 64487100 66636670 79964004 99955005 133273340 166591675 199910010 333183350 399820020 499775025 666366700 999550050 1999100100