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1002212202030 = 2351361186122637
BaseRepresentation
bin11101001010110001000…
…00001001011000101110
310112210212220001221011120
432211120200021120232
5112410012310431110
62044224313401410
7132256516105434
oct16453040113056
93483786057146
101002212202030
1135704372a036
1214229aa09266
137367b6b0120
143671617cd54
151b10aa93870
hexe95880962e

1002212202030 has 128 divisors (see below), whose sum is σ = 2634328642176. Its totient is φ = 242513049600.

The previous prime is 1002212202011. The next prime is 1002212202067. The reversal of 1002212202030 is 302022122001.

It is a happy number.

It is a super-2 number, since 2×10022122020302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 44261872 + ... + 44284508.

It is an arithmetic number, because the mean of its divisors is an integer number (20580692517).

Almost surely, 21002212202030 is an apocalyptic number.

1002212202030 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 1002212202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317164321088).

1002212202030 is an abundant number, since it is smaller than the sum of its proper divisors (1632116440146).

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

1002212202030 is a wasteful number, since it uses less digits than its factorization.

1002212202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24582.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1002212202030 its reverse (302022122001), we get a palindrome (1304234324031).

The spelling of 1002212202030 in words is "one trillion, two billion, two hundred twelve million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1830 1861 2379 3722 3965 4758 5583 7930 9305 11166 11895 18610 22637 23790 24193 27915 45274 48386 55830 67911 72579 113185 113521 120965 135822 145158 226370 227042 241930 294281 339555 340563 362895 567605 588562 679110 681126 725790 882843 1135210 1380857 1471405 1475773 1702815 1765686 2761714 2942810 2951546 3405630 4142571 4414215 4427319 6904285 7378865 8285142 8828430 8854638 13808570 14757730 17951141 20712855 22136595 35902282 41425710 42127457 44273190 53853423 84254914 89755705 107706846 126382371 179511410 210637285 252764742 269267115 421274570 538534230 547656941 631911855 1095313882 1263823710 1642970823 2569774877 2738284705 3285941646 5139549754 5476569410 7709324631 8214854115 12848874385 15418649262 16429708230 25697748770 33407073401 38546623155 66814146802 77093246310 100221220203 167035367005 200442440406 334070734010 501106101015 1002212202030