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21222001042242 = 237111331113982797
BaseRepresentation
bin1001101001101001000011…
…10101010110001101000010
32210010210200202000100210120
410310310201311112031002
510240200124231322432
6113045130325241110
74320144653344140
oct464644165261502
983123622010716
1021222001042242
116842222371870
122468b71263196
13bac2c29c6c20
14535216718590
1526c076308c2c
hex134d21d56342

21222001042242 has 128 divisors (see below), whose sum is σ = 58826066116608. Its totient is φ = 4924056787200.

The previous prime is 21222001042219. The next prime is 21222001042261. The reversal of 21222001042242 is 24224010022212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56805213 + ... + 57177584.

It is an arithmetic number, because the mean of its divisors is an integer number (459578641536).

Almost surely, 221222001042242 is an apocalyptic number.

21222001042242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21222001042242 is an abundant number, since it is smaller than the sum of its proper divisors (37604065074366).

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

21222001042242 is a wasteful number, since it uses less digits than its factorization.

21222001042242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113982864.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21222001042242 its reverse (24224010022212), we get a palindrome (45446011064454).

The spelling of 21222001042242 in words is "twenty-one trillion, two hundred twenty-two billion, one million, forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 186186 113982797 227965594 341948391 683896782 797879579 1253810767 1481776361 1595759158 2393638737 2507621534 2963552722 3533466707 3761432301 4445329083 4787277474 7066933414 7522864602 8776675369 8890658166 10372434527 10600400121 16299539971 17553350738 20744869054 21200800242 24734266949 26330026107 31117303581 32599079942 38868133777 45935067191 48898619913 49468533898 52660052214 62234607162 74202800847 77736267554 91870134382 97797239826 114096779797 116604401331 137805201573 148405601694 228193559594 233208802662 272076936439 275610403146 321545470337 342290339391 505285739101 544153872878 643090940674 684580678782 816230809317 964636411011 1010571478202 1515857217303 1632461618634 1929272822022 3031714434606 3537000173707 7074000347414 10611000521121 21222001042242