Search a number
-
+
21011112303330 = 23537731321196291
BaseRepresentation
bin1001100011100000001111…
…11000101001101011100010
32202101122100112122102120210
410301300013320221223202
510223221224222201310
6112404212143514550
74266000643550502
oct461600770515342
982348315572523
1021011112303330
116770843155996
122434116bb8a56
13b95454837796
14528d2c449a02
15266831e71820
hex131c07e29ae2

21011112303330 has 128 divisors (see below), whose sum is σ = 52539007931136. Its totient is φ = 5372755660800.

The previous prime is 21011112303317. The next prime is 21011112303331. The reversal of 21011112303330 is 3330321111012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21011112303297 and 21011112303306.

It is not an unprimeable number, because it can be changed into a prime (21011112303331) 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, 106942485 + ... + 107138775.

It is an arithmetic number, because the mean of its divisors is an integer number (410460999462).

Almost surely, 221011112303330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011112303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269503965568).

21011112303330 is an abundant number, since it is smaller than the sum of its proper divisors (31527895627806).

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

21011112303330 is a wasteful number, since it uses less digits than its factorization.

21011112303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197732.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21011112303330 its reverse (3330321111012), we get a palindrome (24341433414342).

The spelling of 21011112303330 in words is "twenty-one trillion, eleven billion, one hundred twelve million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 73 74 111 146 185 219 222 365 370 438 555 730 1095 1110 1321 2190 2642 2701 3963 5402 6605 7926 8103 13210 13505 16206 19815 27010 39630 40515 48877 81030 96433 97754 146631 192866 196291 244385 289299 293262 392582 482165 488770 578598 588873 733155 964330 981455 1177746 1446495 1466310 1962910 2892990 2944365 3568021 5888730 7136042 7262767 10704063 14329243 14525534 17840105 21408126 21788301 28658486 35680210 36313835 42987729 43576602 53520315 71646215 72627670 85975458 107040630 108941505 143292430 214938645 217883010 259300411 429877290 518600822 530181991 777901233 1060363982 1296502055 1555802466 1590545973 2593004110 2650909955 3181091946 3889506165 5301819910 7779012330 7952729865 9594115207 15905459730 18928930003 19188230414 28782345621 37857860006 47970576035 56786790009 57564691242 94644650015 95941152070 113573580018 143911728105 189289300030 283933950045 287823456210 567867900090 700370410111 1400740820222 2101111230333 3501852050555 4202222460666 7003704101110 10505556151665 21011112303330