Search a number
-
+
21101310202302 = 232111793793156967
BaseRepresentation
bin1001100110001000010000…
…00110010101000110111110
32202201021011120220110001200
410303010020012111012332
510231210440402433202
6112513450313520330
74305343065211131
oct463041006250676
982637146813050
1021101310202302
1167a6019554450
1224496aa1130a6
13ba0aca659935
1452d447740218
15268d6088ee1c
hex1331081951be

21101310202302 has 96 divisors (see below), whose sum is σ = 50168002510080. Its totient is φ = 6356896968960.

The previous prime is 21101310202261. The next prime is 21101310202309. The reversal of 21101310202302 is 20320201310112.

21101310202302 is a `hidden beast` number, since 2 + 1 + 101 + 310 + 20 + 230 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101310202309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134353023 + ... + 134509989.

It is an arithmetic number, because the mean of its divisors is an integer number (522583359480).

Almost surely, 221101310202302 is an apocalyptic number.

21101310202302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101310202302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084001255040).

21101310202302 is an abundant number, since it is smaller than the sum of its proper divisors (29066692307778).

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

21101310202302 is a wasteful number, since it uses less digits than its factorization.

21101310202302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160958 (or 160955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21101310202302 its reverse (20320201310112), we get a palindrome (41421511512414).

The spelling of 21101310202302 in words is "twenty-one trillion, one hundred one billion, three hundred ten million, two hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 179 198 358 537 1074 1611 1969 3222 3793 3938 5907 7586 11379 11814 17721 22758 34137 35442 41723 68274 83446 125169 156967 250338 313934 375507 470901 678947 751014 941802 1357894 1412703 1726637 2036841 2825406 3453274 4073682 5179911 6110523 7468417 10359822 12221046 14936834 15539733 22405251 28097093 31079466 44810502 56194186 67215753 84291279 134431506 168582558 252873837 309068023 505747674 595375831 618136046 927204069 1190751662 1786127493 1854408138 2781612207 3572254986 5358382479 5563224414 6549134141 10716764958 13098268282 19647402423 39294804846 58942207269 106572273749 117884414538 213144547498 319716821247 639433642494 959150463741 1172295011239 1918300927482 2344590022478 3516885033717 7033770067434 10550655101151 21101310202302