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20422042132302 = 234199665995131
BaseRepresentation
bin1001010010010111000001…
…00100010001111101001110
32200022022212020012012210000
410221023200210101331032
510134043320241213202
6111233431233425130
74205305145660166
oct451134044217516
980268766165700
1020422042132302
116563a374226a8
122359b1870b1a6
13b51a374062c5
14508609a0b5a6
1525635693191c
hex1292e0911f4e

20422042132302 has 80 divisors (see below), whose sum is σ = 45997844112000. Its totient is φ = 6772051273680.

The previous prime is 20422042132249. The next prime is 20422042132321. The reversal of 20422042132302 is 20323124022402.

20422042132302 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 0 + 421 + 3 + 230 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214625277 + ... + 214720407.

It is an arithmetic number, because the mean of its divisors is an integer number (574973051400).

Almost surely, 220422042132302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422042132302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998922056000).

20422042132302 is an abundant number, since it is smaller than the sum of its proper divisors (25575801979698).

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

20422042132302 is a wasteful number, since it uses less digits than its factorization.

20422042132302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102003 (or 101994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20422042132302 its reverse (20323124022402), we get a palindrome (40745166154704).

The spelling of 20422042132302 in words is "twenty trillion, four hundred twenty-two billion, forty-two million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5373 6659 10746 13318 16119 19977 32238 39954 59931 95131 119862 179793 190262 285393 359586 539379 570786 856179 1078758 1325141 1712358 2568537 2650282 3975423 5137074 7705611 7950846 11926269 15411222 18931069 23852538 35778807 37862138 56793207 71557614 107336421 113586414 170379621 214672842 340759242 511138863 633477329 1022277726 1266954658 1533416589 1900431987 3066833178 3800863974 5701295961 11402591922 17103887883 34207775766 51311663649 102623327298 126061988471 252123976942 378185965413 756371930826 1134557896239 2269115792478 3403673688717 6807347377434 10211021066151 20422042132302