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1010021011110 = 232579379374819
BaseRepresentation
bin11101011001010011111…
…00011000111010100110
310120120001002201112102200
432230221330120322212
5113022010334323420
62051555223315330
7132654155640606
oct16545174307246
93516032645380
101010021011110
1135a390590961
121438b9babb46
1374324431707
1436c572b8c06
151b4163c4b90
hexeb29f18ea6

1010021011110 has 96 divisors (see below), whose sum is σ = 2666319552000. Its totient is φ = 265227213888.

The previous prime is 1010021011081. The next prime is 1010021011127. The reversal of 1010021011110 is 111101200101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010021011092 and 1010021011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507281 + ... + 2882099.

It is an arithmetic number, because the mean of its divisors is an integer number (27774162000).

Almost surely, 21010021011110 is an apocalyptic number.

1010021011110 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 1010021011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333159776000).

1010021011110 is an abundant number, since it is smaller than the sum of its proper divisors (1656298540890).

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

1010021011110 is a wasteful number, since it uses less digits than its factorization.

1010021011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375290 (or 375287 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010021011110 its reverse (111101200101), we get a palindrome (1121122211211).

The spelling of 1010021011110 in words is "one trillion, ten billion, twenty-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 379 395 474 711 758 790 1137 1185 1422 1895 2274 2370 3411 3555 3790 5685 6822 7110 11370 17055 29941 34110 59882 89823 149705 179646 269469 299410 374819 449115 538938 749638 898230 1124457 1347345 1874095 2248914 2694690 3373371 3748190 5622285 6746742 11244570 16866855 29610701 33733710 59221402 88832103 142056401 148053505 177664206 266496309 284112802 296107010 426169203 444160515 532992618 710282005 852338406 888321030 1278507609 1332481545 1420564010 2130846015 2557015218 2664963090 4261692030 6392538045 11222455679 12785076090 22444911358 33667367037 56112278395 67334734074 101002101111 112224556790 168336835185 202004202222 336673670370 505010505555 1010021011110