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1234122140130 = 23511354756503
BaseRepresentation
bin10001111101010111011…
…010010110100111100010
311100222111002112102120020
4101331113122112213202
5130204440231441010
62342540424254310
7155106461052105
oct21752732264742
94328432472506
101234122140130
1143642a858000
1217b221011396
138c4b9997579
1443a361dc73c
1522180664470
hex11f576969e2

1234122140130 has 128 divisors (see below), whose sum is σ = 3263873550336. Its totient is φ = 298628890560.

The previous prime is 1234122140129. The next prime is 1234122140149. The reversal of 1234122140130 is 310412214321.

It is a self number, because there is not a number n which added to its sum of digits gives 1234122140130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21813459 + ... + 21869961.

It is an arithmetic number, because the mean of its divisors is an integer number (25499012112).

Almost surely, 21234122140130 is an apocalyptic number.

1234122140130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234122140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631936775168).

1234122140130 is an abundant number, since it is smaller than the sum of its proper divisors (2029751410206).

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

1234122140130 is a wasteful number, since it uses less digits than its factorization.

1234122140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57093 (or 57071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1234122140130 its reverse (310412214321), we get a palindrome (1544534354451).

The spelling of 1234122140130 in words is "one trillion, two hundred thirty-four billion, one hundred twenty-two million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 547 605 726 1094 1210 1331 1641 1815 2662 2735 3282 3630 3993 5470 6017 6655 7986 8205 12034 13310 16410 18051 19965 30085 36102 39930 56503 60170 66187 90255 113006 132374 169509 180510 198561 282515 330935 339018 397122 565030 621533 661870 728057 847545 992805 1243066 1456114 1695090 1864599 1985610 2184171 3107665 3640285 3729198 4368342 6215330 6836863 7280570 9322995 10920855 13673726 18645990 20510589 21841710 30907141 34184315 41021178 61814282 68368630 75205493 92721423 102552945 150410986 154535705 185442846 205105890 225616479 309071410 339978551 376027465 451232958 463607115 679957102 752054930 927214230 1019935653 1128082395 1699892755 2039871306 2256164790 3399785510 3739764061 5099678265 7479528122 10199356530 11219292183 18698820305 22438584366 37397640610 41137404671 56096460915 82274809342 112192921830 123412214013 205687023355 246824428026 411374046710 617061070065 1234122140130