Search a number
-
+
72020002101222 = 23729253792811733
BaseRepresentation
bin10000011000000001110110…
…101001000101011111100110
3100110000001012202221122100110
4100120001312221011133212
533414433431014214342
6413101310542553450
721112162535136030
oct2030016651053746
9313001182848313
1072020002101222
1120a475696a067a
1280b1b60b98886
1331255c3200216
1413adb029c6c50
1584d613a06c9c
hex418076a457e6

72020002101222 has 384 divisors, whose sum is σ = 176632793026560. Its totient is φ = 19166426173440.

The previous prime is 72020002101191. The next prime is 72020002101287. The reversal of 72020002101222 is 22210120002027.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41557992268 + ... + 41557994000.

It is an arithmetic number, because the mean of its divisors is an integer number (459981231840).

Almost surely, 272020002101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72020002101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88316396513280).

72020002101222 is an abundant number, since it is smaller than the sum of its proper divisors (104612790925338).

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

72020002101222 is a wasteful number, since it uses less digits than its factorization.

72020002101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 72020002101222 its reverse (22210120002027), we get a palindrome (94230122103249).

The spelling of 72020002101222 in words is "seventy-two trillion, twenty billion, two million, one hundred one thousand, two hundred twenty-two".