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2032203220002 = 23673137139369
BaseRepresentation
bin11101100100101000110…
…000000100010000100010
321012021110201212221000000
4131210220300010100202
5231243423011020002
64153325315440430
7266551614233604
oct35445060042042
97167421787000
102032203220002
1171394181369a
12289a308b6116
13119836217637
1470505773174
1537ce025c61c
hex1d928c04422

2032203220002 has 112 divisors (see below), whose sum is σ = 4666825076760. Its totient is φ = 663240047616.

The previous prime is 2032203219989. The next prime is 2032203220013. The reversal of 2032203220002 is 2000223022302.

2032203220002 is a `hidden beast` number, since 20 + 322 + 0 + 322 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1559174271561 + 473028948441 = 1248669^2 + 687771^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14511774 + ... + 14651142.

Almost surely, 22032203220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032203220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333412538380).

2032203220002 is an abundant number, since it is smaller than the sum of its proper divisors (2634621856758).

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

2032203220002 is a wasteful number, since it uses less digits than its factorization.

2032203220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139599 (or 139584 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2032203220002 its reverse (2000223022302), we get a palindrome (4032426242304).

The spelling of 2032203220002 in words is "two trillion, thirty-two billion, two hundred three million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 81 137 146 162 219 243 274 411 438 486 657 729 822 1233 1314 1458 1971 2466 3699 3942 5913 7398 10001 11097 11826 17739 20002 22194 30003 33291 35478 53217 60006 66582 90009 99873 106434 139369 180018 199746 270027 278738 418107 540054 810081 836214 1254321 1620162 2430243 2508642 3762963 4860486 7290729 7525926 10173937 11288889 14581458 19093553 20347874 22577778 30521811 33866667 38187106 57280659 61043622 67733334 91565433 101600001 114561318 171841977 183130866 203200002 274696299 343683954 515525931 549392598 824088897 1031051862 1393829369 1546577793 1648177794 2472266691 2787658738 3093155586 4181488107 4639733379 4944533382 7416800073 8362976214 9279466758 12544464321 13919200137 14833600146 25088928642 27838400274 37633392963 75266785926 112900178889 225800357778 338700536667 677401073334 1016101610001 2032203220002