Search a number
-
+
1021010221112 = 237323157103043
BaseRepresentation
bin11101101101110001111…
…00111001100000111000
310121121101221212020120112
432312320330321200320
5113212012104033422
62101013504243452
7133523404454000
oct16667074714070
93547357766515
101021010221112
1136400a719aa2
12145a66310588
137538604ba3b
14375ba97b000
151b85b031ee2
hexedb8f39838

1021010221112 has 128 divisors (see below), whose sum is σ = 2344457088000. Its totient is φ = 415880809344.

The previous prime is 1021010221061. The next prime is 1021010221151. The reversal of 1021010221112 is 2111220101201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9857063 + ... + 9960105.

It is an arithmetic number, because the mean of its divisors is an integer number (18316071000).

Almost surely, 21021010221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021010221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172228544000).

1021010221112 is an abundant number, since it is smaller than the sum of its proper divisors (1323446866888).

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

1021010221112 is a wasteful number, since it uses less digits than its factorization.

1021010221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103250 (or 103232 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1021010221112 its reverse (2111220101201), we get a palindrome (3132230322313).

The spelling of 1021010221112 in words is "one trillion, twenty-one billion, ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 157 161 184 196 314 322 343 392 628 644 686 1099 1127 1256 1288 1372 2198 2254 2744 3611 4396 4508 7222 7693 7889 8792 9016 14444 15386 15778 25277 28888 30772 31556 50554 53851 61544 63112 101108 103043 107702 176939 202216 206086 215404 353878 412172 430808 707756 721301 824344 1238573 1415512 1442602 2369989 2477146 2885204 4739978 4954292 5049107 5770408 9479956 9908584 10098214 16177751 16589923 18959912 20196428 32355502 33179846 35343749 40392856 64711004 66359692 70687498 113244257 116129461 129422008 132719384 141374996 226488514 232258922 282749992 372088273 452977028 464517844 744176546 792709799 812906227 905954056 929035688 1488353092 1585419598 1625812454 2604617911 2976706184 3170839196 3251624908 5209235822 5548968593 6341678392 6503249816 10418471644 11097937186 18232325377 20836943288 22195874372 36464650754 44391748744 72929301508 127626277639 145858603016 255252555278 510505110556 1021010221112