Search a number
-
+
20003022322122 = 23729109428935129
BaseRepresentation
bin1001000110001010100010…
…00010100011100111001010
32121211021022000111101012010
410203011101002203213022
510110212142203301442
6110313132301000350
74133112353234430
oct443052102434712
977737260441163
1020003022322122
116412263694414
1222b08778530b6
13b2137a4b2618
144d22197d4d50
1524a4d0388b9c
hex1231510a39ca

20003022322122 has 128 divisors (see below), whose sum is σ = 47744199360000. Its totient is φ = 5466020216832.

The previous prime is 20003022322121. The next prime is 20003022322183. The reversal of 20003022322122 is 22122322030002.

It is a super-2 number, since 2×200030223221222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20003022322121) 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, 569398654 + ... + 569433782.

It is an arithmetic number, because the mean of its divisors is an integer number (373001557500).

Almost surely, 220003022322122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003022322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872099680000).

20003022322122 is an abundant number, since it is smaller than the sum of its proper divisors (27741177037878).

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

20003022322122 is a wasteful number, since it uses less digits than its factorization.

20003022322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39568.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20003022322122 its reverse (22122322030002), we get a palindrome (42125344352124).

The spelling of 20003022322122 in words is "twenty trillion, three billion, twenty-two million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 109 174 203 218 327 406 609 654 763 1218 1526 2289 3161 4289 4578 6322 8578 9483 12867 18966 22127 25734 30023 35129 44254 60046 66381 70258 90069 105387 124381 132762 180138 210774 245903 248762 373143 467501 491806 737709 746286 870667 935002 1018741 1402503 1475418 1741334 2037482 2612001 2805006 3056223 3272507 3829061 5224002 6112446 6545014 7131187 7658122 9817521 11487183 13557529 14262374 19635042 21393561 22974366 26803427 27115058 40672587 42787122 53606854 80410281 81345174 94902703 111042769 150668281 160820562 189805406 222085538 284708109 301336562 333128307 452004843 569416218 666256614 777299383 904009686 1054677967 1554598766 2109355934 2331898149 3164033901 4369380149 4663796298 6328067802 8738760298 13108140447 16422842629 26216280894 30585661043 32845685258 49268527887 61171322086 91756983129 98537055774 114959898403 183513966258 229919796806 344879695209 476262436241 689759390418 952524872482 1428787308723 2857574617446 3333837053687 6667674107374 10001511161061 20003022322122