Search a number
-
+
202001222012112 = 24322950396166879
BaseRepresentation
bin101101111011100000010011…
…000101010000110011010000
3222111020010110110220120000100
4231323200103011100303100
5202434042000313341422
61553342025202252400
760356051406620235
oct5573402305206320
9874203413816010
10202001222012112
11594002677349a6
121a7a5234657100
138893830a53933
1437c4ca88d378c
1518547ae4a47ac
hexb7b813150cd0

202001222012112 has 120 divisors (see below), whose sum is σ = 585979419916800. Its totient is φ = 64882638584064.

The previous prime is 202001222012089. The next prime is 202001222012129. The reversal of 202001222012112 is 211210222100202.

It is a happy number.

202001222012112 is a `hidden beast` number, since 20 + 200 + 12 + 220 + 1 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45982912 + ... + 50183967.

It is an arithmetic number, because the mean of its divisors is an integer number (4883161832640).

Almost surely, 2202001222012112 is an apocalyptic number.

It is an amenable number.

202001222012112 is an abundant number, since it is smaller than the sum of its proper divisors (383978197904688).

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

202001222012112 is a wasteful number, since it uses less digits than its factorization.

202001222012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96167425 (or 96167416 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202001222012112 its reverse (211210222100202), we get a palindrome (413211444112314).

The spelling of 202001222012112 in words is "two hundred two trillion, one billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 503 522 696 1006 1044 1392 1509 2012 2088 3018 4024 4176 4527 6036 8048 9054 12072 14587 18108 24144 29174 36216 43761 58348 72432 87522 116696 131283 175044 233392 262566 350088 525132 700176 1050264 2100528 96166879 192333758 288500637 384667516 577001274 769335032 865501911 1154002548 1538670064 1731003822 2308005096 2788839491 3462007644 4616010192 5577678982 6924015288 8366518473 11155357964 13848030576 16733036946 22310715928 25099555419 33466073892 44621431856 48371940137 50199110838 66932147784 96743880274 100398221676 133864295568 145115820411 193487760548 200796443352 290231640822 386975521096 401592886704 435347461233 580463281644 773951042192 870694922466 1160926563288 1402786263973 1741389844932 2321853126576 2805572527946 3482779689864 4208358791919 5611145055892 6965559379728 8416717583838 11222290111784 12625076375757 16833435167676 22444580223568 25250152751514 33666870335352 50500305503028 67333740670704 101000611006056 202001222012112