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212400133003124 = 2211173476101134129
BaseRepresentation
bin110000010010110101000010…
…011110100101011101110100
31000212001020212110112210100022
4300102311002132211131310
5210314430433022044444
62031423135110304312
762511255204620333
oct6022650236453564
91025036773483308
10212400133003124
116174a432902790
121b9a469a958098
139169328a17471
143a64315307d1a
1519850353cb9ee
hexc12d427a5774

212400133003124 has 96 divisors (see below), whose sum is σ = 430654671941760. Its totient is φ = 90588978176000.

The previous prime is 212400133003109. The next prime is 212400133003127. The reversal of 212400133003124 is 421300331004212.

It is a super-2 number, since 2×2124001330031242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212400133003093 and 212400133003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400133003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583484092 + ... + 1583618220.

It is an arithmetic number, because the mean of its divisors is an integer number (4485986166060).

Almost surely, 2212400133003124 is an apocalyptic number.

It is an amenable number.

212400133003124 is an abundant number, since it is smaller than the sum of its proper divisors (218254538938636).

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

212400133003124 is a wasteful number, since it uses less digits than its factorization.

212400133003124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140609 (or 140607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 212400133003124 its reverse (421300331004212), we get a palindrome (633700464007336).

The spelling of 212400133003124 in words is "two hundred twelve trillion, four hundred billion, one hundred thirty-three million, three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 347 374 694 748 1388 3817 5899 6101 7634 11798 12202 15268 23596 24404 64889 67111 103717 129778 134129 134222 207434 259556 268258 268444 414868 536516 1140887 1475419 2117047 2280193 2281774 2950838 4234094 4560386 4563548 5901676 8468188 9120772 23287517 25082123 35989799 46542763 46575034 50164246 71979598 93085526 93150068 100328492 143959196 186171052 395887789 511970393 791226971 791775578 818321029 1023940786 1582453942 1583551156 1636642058 2047881572 3164907884 3273284116 8703496681 9001531319 13911457493 17406993362 18003062638 27822914986 34813986724 36006125276 55645829972 153026032423 283957397063 306052064846 567914794126 612104129692 1135829588252 3123531367693 4827275750071 6247062735386 9654551500142 12494125470772 19309103000284 53100033250781 106200066501562 212400133003124