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10011020000 = 25541313821
BaseRepresentation
bin10010101001011010…
…00000101011100000
3221211200111111201112
421110231000223200
5131000310120000
64333214522452
7503040160142
oct112455005340
927750444645
1010011020000
114277a61553
121b34806428
13c37078397
146ad7d0c92
153d8d38235
hex254b40ae0

10011020000 has 120 divisors (see below), whose sum is σ = 24823110312. Its totient is φ = 3972800000.

The previous prime is 10011019987. The next prime is 10011020021. The reversal of 10011020000 is 2011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2618090 + ... + 2621910.

Almost surely, 210011020000 is an apocalyptic number.

10011020000 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 10011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411555156).

10011020000 is an abundant number, since it is smaller than the sum of its proper divisors (14812090312).

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

10011020000 is an equidigital number, since it uses as much as digits as its factorization.

10011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10011020000 its reverse (2011001), we get a palindrome (10013031001).

The spelling of 10011020000 in words is "ten billion, eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 524 625 655 800 1000 1048 1250 1310 2000 2096 2500 2620 3275 3821 4000 4192 5000 5240 6550 7642 10000 10480 13100 15284 16375 19105 20000 20960 26200 30568 32750 38210 52400 61136 65500 76420 81875 95525 104800 122272 131000 152840 163750 191050 262000 305680 327500 382100 477625 500551 524000 611360 655000 764200 955250 1001102 1310000 1528400 1910500 2002204 2388125 2502755 2620000 3056800 3821000 4004408 4776250 5005510 7642000 8008816 9552500 10011020 12513775 15284000 16017632 19105000 20022040 25027550 38210000 40044080 50055100 62568875 76420000 80088160 100110200 125137750 200220400 250275500 312844375 400440800 500551000 625688750 1001102000 1251377500 2002204000 2502755000 5005510000 10011020000