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1002012022110 = 2351110182336529
BaseRepresentation
bin11101001010011001001…
…00100001010101011110
310112210100221101201221110
432211030210201111132
5112404110034201420
62044152403042450
7132251535441501
oct16451444412536
93483327351843
101002012022110
11356a50733990
12142243970426
1373649091c78
14366d7751138
151b0e8200ee0
hexe94c92155e

1002012022110 has 128 divisors (see below), whose sum is σ = 2652716252160. Its totient is φ = 240208128000.

The previous prime is 1002012022091. The next prime is 1002012022189. The reversal of 1002012022110 is 112202102001.

It is a super-2 number, since 2×10020120221102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27412326 + ... + 27448854.

It is an arithmetic number, because the mean of its divisors is an integer number (20724345720).

Almost surely, 21002012022110 is an apocalyptic number.

1002012022110 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 1002012022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326358126080).

1002012022110 is an abundant number, since it is smaller than the sum of its proper divisors (1650704230050).

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

1002012022110 is a wasteful number, since it uses less digits than its factorization.

1002012022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37474.

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

Adding to 1002012022110 its reverse (112202102001), we get a palindrome (1114214124111).

The spelling of 1002012022110 in words is "one trillion, two billion, twelve million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 823 1010 1111 1515 1646 2222 2469 3030 3333 4115 4938 5555 6666 8230 9053 11110 12345 16665 18106 24690 27159 33330 36529 45265 54318 73058 83123 90530 109587 135795 166246 182645 219174 249369 271590 365290 401819 415615 498738 547935 803638 831230 914353 1095870 1205457 1246845 1828706 2009095 2410914 2493690 2743059 3689429 4018190 4571765 5486118 6027285 7378858 9143530 11068287 12054570 13715295 18447145 22136574 27430590 30063367 36894290 40583719 55341435 60126734 81167438 90190101 110682870 121751157 150316835 180380202 202918595 243502314 300633670 330697037 405837190 450950505 608755785 661394074 901901010 992091111 1217511570 1653485185 1984182222 3036400067 3306970370 4960455555 6072800134 9109200201 9920911110 15182000335 18218400402 30364000670 33400400737 45546001005 66800801474 91092002010 100201202211 167002003685 200402404422 334004007370 501006011055 1002012022110