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2100003311032 = 2311234126396221
BaseRepresentation
bin11110100011110001111…
…100111000110110111000
321102202110211201102002121
4132203301330320312320
5233401301321423112
64244421143011024
7304502016423514
oct36436174706670
97382424642077
102100003311032
1173a674138580
1229abb2a39a74
1312304c962bb3
14738d8133144
153995c66d407
hex1e8f1f38db8

2100003311032 has 128 divisors (see below), whose sum is σ = 4609049195520. Its totient is φ = 887379328000.

The previous prime is 2100003310987. The next prime is 2100003311041. The reversal of 2100003311032 is 2301133000012.

It is a junction number, because it is equal to n+sod(n) for n = 2100003310997 and 2100003311015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21776682 + ... + 21872902.

It is an arithmetic number, because the mean of its divisors is an integer number (36008196840).

Almost surely, 22100003311032 is an apocalyptic number.

2100003311032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100003311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304524597760).

2100003311032 is an abundant number, since it is smaller than the sum of its proper divisors (2509045884488).

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

2100003311032 is a wasteful number, since it uses less digits than its factorization.

2100003311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96565 (or 96561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2100003311032 its reverse (2301133000012), we get a palindrome (4401136311044).

The spelling of 2100003311032 in words is "two trillion, one hundred billion, three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 263 328 451 506 526 902 943 1012 1052 1804 1886 2024 2104 2893 3608 3772 5786 6049 7544 10373 10783 11572 12098 20746 21566 23144 24196 41492 43132 48392 66539 82984 86264 96221 118613 133078 192442 237226 248009 266156 384884 474452 496018 532312 769768 948904 992036 1058431 1984072 2116862 2213083 2728099 3945061 4233724 4426166 5456198 7890122 8467448 8852332 10912396 15780244 17704664 21824792 24343913 25306123 31560488 43395671 48687826 50612246 86791342 90736403 97375652 101224492 173582684 181472806 194751304 202448984 278367353 347165368 362945612 556734706 582040829 725891224 998100433 1037551043 1113469412 1164081658 1996200866 2075102086 2226938824 2328163316 3992401732 4150204172 4656326632 6402449119 7984803464 8300408344 11413061473 12804898238 22826122946 23863673989 25609796476 45652245892 47727347978 51219592952 91304491784 95454695956 190909391912 262500413879 525000827758 1050001655516 2100003311032