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204002090200402 = 213711092236596899
BaseRepresentation
bin101110011000100111110000…
…000111101010110101010010
3222202022102001102101221102021
4232120213300013222311102
5203214332240042403102
62001513133315442054
760653443653611434
oct5630476007526522
9882272042357367
10204002090200402
115a00188965a46a
121aa68b7b2b632a
1389aa412123b90
143853a7a7bc654
15188b8687c8137
hexb989f01ead52

204002090200402 has 128 divisors (see below), whose sum is σ = 339324733440000. Its totient is φ = 91412397538560.

The previous prime is 204002090200399. The next prime is 204002090200427.

It is a happy number.

204002090200402 is nontrivially palindromic in base 10.

204002090200402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2040020902004022 (a number of 29 digits) contains 22 as substring.

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, 29569802349 + ... + 29569809247.

It is an arithmetic number, because the mean of its divisors is an integer number (2650974480000).

Almost surely, 2204002090200402 is an apocalyptic number.

204002090200402 is a deficient number, since it is larger than the sum of its proper divisors (135322643239598).

204002090200402 is a wasteful number, since it uses less digits than its factorization.

204002090200402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 204002090200402 in words is "two hundred four trillion, two billion, ninety million, two hundred thousand, four hundred two".

Divisors: 1 2 13 26 71 109 142 218 223 446 659 923 1318 1417 1846 2834 2899 5798 6899 7739 8567 13798 15478 15833 17134 24307 31666 46789 48614 71831 89687 93578 100607 143662 146957 179374 201214 205829 293914 315991 411658 489829 608257 631982 751991 933803 979658 1216514 1503982 1538477 1725797 1867606 1910441 3076954 3451594 3820882 4546441 5100001 6367777 9092882 9775883 10200002 10433947 12735554 16018313 19551766 20000201 20867894 22435361 32036626 40000402 44870722 53391361 59103733 66300013 106782722 109231867 118207466 132600026 135641311 167693993 208238069 218463734 271282622 322797311 335387986 416476138 495562069 645594622 694087693 991124138 1013856343 1137300223 1388175386 1420014271 2027712686 2180021909 2274600446 2840028542 4196365043 4360043818 6442306897 8392730086 11906273503 12884613794 13180132459 14784902899 23812547006 26360264918 29569805798 35184906899 70369813798 71983800353 110510341387 143967600706 154781555539 221020682774 309563111078 457403789687 914807579374 935789404589 1436634438031 1871578809178 2873268876062 7846234238477 15692468476954 102001045100201 204002090200402