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21323220202300 = 225213122961911483
BaseRepresentation
bin1001101100100101100101…
…11101110011001100111100
32210111110221212201110020111
410312102302331303030330
510243324423332433200
6113203430243155404
74330360163121142
oct466226275631474
983443855643214
1021323220202300
1168811439aa965
1224846bb375b64
13bb8a03c78b43
1453a099655592
1526e9ec5b60ba
hex1364b2f7333c

21323220202300 has 144 divisors (see below), whose sum is σ = 46907941449600. Its totient is φ = 8412870585600.

The previous prime is 21323220202261. The next prime is 21323220202331. The reversal of 21323220202300 is 320202232312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1856932359 + ... + 1856943841.

It is an arithmetic number, because the mean of its divisors is an integer number (325749593400).

Almost surely, 221323220202300 is an apocalyptic number.

21323220202300 is a gapful number since it is divisible by the number (20) 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 21323220202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453970724800).

21323220202300 is an abundant number, since it is smaller than the sum of its proper divisors (25584721247300).

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

21323220202300 is a wasteful number, since it uses less digits than its factorization.

21323220202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21323220202300 its reverse (320202232312), we get a palindrome (21643422434612).

The spelling of 21323220202300 in words is "twenty-one trillion, three hundred twenty-three billion, two hundred twenty million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 229 262 458 524 619 655 916 1145 1238 1310 2290 2476 2620 3095 3275 4580 5725 6190 6550 11450 11483 12380 13100 15475 22900 22966 29999 30950 45932 57415 59998 61900 81089 114830 119996 141751 149995 162178 229660 283502 287075 299990 324356 405445 567004 574150 599980 708755 749975 810890 1148300 1417510 1499950 1504273 1621780 2027225 2629607 2835020 2999900 3008546 3543775 4054450 5259214 6017092 7087550 7107977 7521365 8108900 10518428 13148035 14175100 14215954 15042730 18569381 26296070 28431908 30085460 35539885 37138762 37606825 52592140 65740175 71079770 74277524 75213650 92846905 131480350 142159540 150427300 177699425 185693810 262960700 344478517 355398850 371387620 464234525 688957034 710797700 928469050 931144987 1377914068 1627726733 1722392585 1856938100 1862289974 3255453466 3444785170 3724579948 4655724935 6510906932 6889570340 8138633665 8611962925 9311449870 16277267330 17223925850 18622899740 23278624675 32554534660 34447851700 40693168325 46557249350 81386336650 93114498700 162772673300 213232202023 426464404046 852928808092 1066161010115 2132322020230 4264644040460 5330805050575 10661610101150 21323220202300