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10001000100222 = 23223374911329719
BaseRepresentation
bin1001000110001000101000…
…0011101111000101111110
31022102002022220002121102100
42101202022003233011332
52302324022011201342
633134221312405530
72051356051143345
oct221421203570576
938362286077370
1010001000100222
11320644491612a
1211563168468a6
135771233cc1c1
1426809dca4b5c
15125237b43e4c
hex9188a0ef17e

10001000100222 has 96 divisors (see below), whose sum is σ = 23269376632320. Its totient is φ = 3096221768640.

The previous prime is 10001000100121. The next prime is 10001000100241. The reversal of 10001000100222 is 22200100010001.

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

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, 6856279 + ... + 8185997.

It is an arithmetic number, because the mean of its divisors is an integer number (242389339920).

Almost surely, 210001000100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001000100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634688316160).

10001000100222 is an abundant number, since it is smaller than the sum of its proper divisors (13268376532098).

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

10001000100222 is a wasteful number, since it uses less digits than its factorization.

10001000100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330278 (or 1330275 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001000100222 its reverse (22200100010001), we get a palindrome (32201100110223).

The spelling of 10001000100222 in words is "ten trillion, one billion, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 491 666 851 982 1473 1702 2553 2946 4419 5106 7659 8838 11293 15318 18167 22586 33879 36334 54501 67758 101637 109002 163503 203274 327006 417841 835682 1253523 1329719 2507046 2659438 3760569 3989157 7521138 7978314 11967471 23934942 30583537 49199603 61167074 91750611 98399206 147598809 183501222 275251833 295197618 442796427 550503666 652892029 885592854 1131590869 1305784058 1958676087 2263181738 3394772607 3917352174 5876028261 6789545214 10184317821 11752056522 15016516667 20368635642 24157005073 30033033334 45049550001 48314010146 72471015219 90099100002 135148650003 144942030438 217413045657 270297300006 434826091314 555611116679 1111222233358 1666833350037 3333666700074 5000500050111 10001000100222