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10010100221022 = 231117149193310243
BaseRepresentation
bin1001000110101010100001…
…1101111100010001011110
31022102221211002120122100110
42101222220131330101132
52303001141124033042
633142324311510450
72052130420661646
oct221525035742136
938387732518313
1010010100221022
11320a294680620
121158036388426
13577c43835c75
142686c46dd526
151255bb9eb09c
hex91aa877c45e

10010100221022 has 128 divisors (see below), whose sum is σ = 23400836236800. Its totient is φ = 2821067735040.

The previous prime is 10010100221021. The next prime is 10010100221081. The reversal of 10010100221022 is 22012200101001.

10010100221022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10010100220989 and 10010100221007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010100221021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32110233 + ... + 32420475.

It is an arithmetic number, because the mean of its divisors is an integer number (182819033100).

Almost surely, 210010100221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010100221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700418118400).

10010100221022 is an abundant number, since it is smaller than the sum of its proper divisors (13390736015778).

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

10010100221022 is a wasteful number, since it uses less digits than its factorization.

10010100221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310618.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010100221022 its reverse (22012200101001), we get a palindrome (32022300322023).

The spelling of 10010100221022 in words is "ten trillion, ten billion, one hundred million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 149 187 193 298 374 386 447 561 579 894 1122 1158 1639 2123 2533 3278 3281 4246 4917 5066 6369 6562 7599 9834 9843 12738 15198 19686 27863 28757 36091 55726 57514 72182 83589 86271 108273 167178 172542 216546 310243 316327 488869 620486 632654 930729 948981 977738 1466607 1861458 1897962 2933214 3412673 5274131 5377559 6825346 10238019 10548262 10755118 15822393 16132677 20476038 31644786 32265354 46226207 58015441 59876899 92452414 116030882 119753798 138678621 174046323 179630697 277357242 348092646 359261394 508488277 658645889 785845519 1016976554 1017907283 1317291778 1525464831 1571691038 1975937667 2035814566 2357536557 3050929662 3053721849 3951875334 4715073114 6107443698 8644300709 8921657951 11196980113 17288601418 17843315902 22393960226 25932902127 26764973853 33590940339 51865804254 53529947706 67181880678 98138237461 151668185167 196276474922 294414712383 303336370334 455004555501 588829424766 910009111002 1668350036837 3336700073674 5005050110511 10010100221022