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2002000101030 = 234519153184967
BaseRepresentation
bin11101001000100000100…
…000010011111010100110
321002101111211101111210000
4131020200200103322212
5230300044011213110
64131412310042130
7264432300040266
oct35104040237246
97071454344700
102002000101030
11702052957346
12284001949346
13116a31a456c7
146cc7c3737a6
15371238b01c0
hex1d220813ea6

2002000101030 has 160 divisors (see below), whose sum is σ = 5670247714560. Its totient is φ = 505432146240.

The previous prime is 2002000101029. The next prime is 2002000101083. The reversal of 2002000101030 is 301010002002.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23519607 + ... + 23604573.

It is an arithmetic number, because the mean of its divisors is an integer number (35439048216).

Almost surely, 22002000101030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835123857280).

2002000101030 is an abundant number, since it is smaller than the sum of its proper divisors (3668247613530).

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

2002000101030 is a wasteful number, since it uses less digits than its factorization.

2002000101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86536 (or 86527 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2002000101030 its reverse (301010002002), we get a palindrome (2303010103032).

The spelling of 2002000101030 in words is "two trillion, two billion, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1531 1539 1710 2565 3062 3078 4593 5130 7655 7695 9186 13779 15310 15390 22965 27558 29089 41337 45930 58178 68895 82674 84967 87267 124011 137790 145445 169934 174534 206685 248022 254901 261801 290890 413370 424835 436335 509802 523602 620055 764703 785403 849670 872670 1240110 1274505 1309005 1529406 1570806 1614373 2294109 2356209 2549010 2618010 3228746 3823515 3927015 4588218 4712418 4843119 6882327 7647030 7854030 8071865 9686238 11470545 11781045 13764654 14529357 16143730 22941090 23562090 24215595 29058714 34411635 43588071 48431190 68823270 72646785 87176142 130084477 130764213 145293570 217940355 260168954 261528426 390253431 435880710 650422385 653821065 780506862 1170760293 1300844770 1307642130 1951267155 2341520586 2471605063 3512280879 3902534310 4943210126 5853801465 7024561758 7414815189 10536842637 11707602930 12358025315 14829630378 17561404395 21073685274 22244445567 24716050630 35122808790 37074075945 44488891134 52684213185 66733336701 74148151890 105368426370 111222227835 133466673402 200200010103 222444455670 333666683505 400400020206 667333367010 1001000050515 2002000101030