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142121043121002 = 2311101257123167391
BaseRepresentation
bin100000010100001000100010…
…010010100101001101101010
3200122012122020212002001001220
4200110020202102211031222
5122112002344014333002
61222133301134122510
741635622636244501
oct4024104222451552
9618178225061056
10142121043121002
1141314217832420
1213b34015950436
13613bc592b659a
1427149a3857838
151166d63d1c7bc
hex8142224a536a

142121043121002 has 128 divisors (see below), whose sum is σ = 314630936395776. Its totient is φ = 42439526400000.

The previous prime is 142121043120997. The next prime is 142121043121039. The reversal of 142121043121002 is 200121340121241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108868727 + ... + 2108936117.

It is an arithmetic number, because the mean of its divisors is an integer number (2458054190592).

Almost surely, 2142121043121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142121043121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157315468197888).

142121043121002 is an abundant number, since it is smaller than the sum of its proper divisors (172509893274774).

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

142121043121002 is a wasteful number, since it uses less digits than its factorization.

142121043121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68996.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142121043121002 its reverse (200121340121241), we get a palindrome (342242383242243).

The spelling of 142121043121002 in words is "one hundred forty-two trillion, one hundred twenty-one billion, forty-three million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 257 303 514 606 771 1111 1231 1542 2222 2462 2827 3333 3693 5654 6666 7386 8481 13541 16962 25957 27082 40623 51914 67391 77871 81246 124331 134782 155742 202173 248662 285527 316367 372993 404346 571054 632734 741301 745986 856581 949101 1367641 1482602 1713162 1898202 2223903 2735282 3480037 4102923 4447806 6806491 6960074 8205846 10440111 13612982 17319487 20419473 20880222 31953067 34638974 40838946 51958461 63906134 74871401 82958321 95859201 103916922 149742802 165916642 190514357 191718402 224614203 248874963 351483737 381028714 449228406 497749926 571543071 702967474 912541531 1054451211 1143086142 1749268187 1825083062 2108902422 2737624593 3498536374 5247804561 5475249186 8378790421 10495609122 16757580842 19241950057 21320288497 25136371263 38483900114 42640576994 50272742526 57725850171 63960865491 92166694631 115451700342 127921730982 184333389262 234523173467 276500083893 469046346934 553000167786 703569520401 1407139040802 2153349138197 4306698276394 6460047414591 12920094829182 23686840520167 47373681040334 71060521560501 142121043121002