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1010000200110 = 23511139199110647
BaseRepresentation
bin11101011001010001011…
…01000000000110101110
310120112222122120020002220
432230220231000012232
5113021440022400420
62051553201300210
7132653514023256
oct16545055000656
93515878506086
101010000200110
1135a37a867290
121438b3034666
1374320026105
1436c5461c966
151b414663840
hexeb28b401ae

1010000200110 has 128 divisors (see below), whose sum is σ = 2676796416000. Its totient is φ = 241863304320.

The previous prime is 1010000200091. The next prime is 1010000200289. The reversal of 1010000200110 is 110020000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9072807 + ... + 9183453.

It is an arithmetic number, because the mean of its divisors is an integer number (20912472000).

Almost surely, 21010000200110 is an apocalyptic number.

1010000200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010000200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338398208000).

1010000200110 is an abundant number, since it is smaller than the sum of its proper divisors (1666796215890).

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

1010000200110 is a wasteful number, since it uses less digits than its factorization.

1010000200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111006.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1010000200110 its reverse (110020000101), we get a palindrome (1120020200211).

The spelling of 1010000200110 in words is "one trillion, ten billion, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 199 278 330 398 417 597 695 834 995 1194 1390 1529 1990 2085 2189 2985 3058 4170 4378 4587 5970 6567 7645 9174 10945 13134 15290 21890 22935 27661 32835 45870 55322 65670 82983 110647 138305 165966 221294 276610 304271 331941 414915 553235 608542 663882 829830 912813 1106470 1217117 1521355 1659705 1825626 2434234 3042710 3319410 3651351 4564065 6085585 7302702 9128130 12171170 15379933 18256755 22018753 30759866 36513510 44037506 46139799 66056259 76899665 92279598 110093765 132112518 153799330 169179263 220187530 230698995 242206283 330281295 338358526 461397990 484412566 507537789 660562590 726618849 845896315 1015075578 1211031415 1453237698 1691792630 2422062830 2537688945 3060606667 3633094245 5075377890 6121213334 7266188490 9181820001 15303033335 18363640002 30606066670 33666673337 45909100005 67333346674 91818200010 101000020011 168333366685 202000040022 336666733370 505000100055 1010000200110