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1142103354120 = 2332529109396873
BaseRepresentation
bin10000100111101010101…
…010100010101100001000
311001011222010221202122200
4100213222222202230020
5122203011424312440
62232401450320200
7145341246222051
oct20475252425410
94034863852580
101142103354120
114003aa629123
12165420129060
1383913851271
143d3c7155728
151ea96e63c30
hex109eaaa2b08

1142103354120 has 96 divisors (see below), whose sum is σ = 3839830277400. Its totient is φ = 294058791936.

The previous prime is 1142103354113. The next prime is 1142103354167. The reversal of 1142103354120 is 214533012411.

1142103354120 is a `hidden beast` number, since 1 + 1 + 4 + 210 + 3 + 35 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 945962431236 + 196140922884 = 972606^2 + 442878^2 .

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 23 ways as a sum of consecutive naturals, for example, 54687997 + ... + 54708876.

Almost surely, 21142103354120 is an apocalyptic number.

1142103354120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142103354120 is an abundant number, since it is smaller than the sum of its proper divisors (2697726923280).

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

1142103354120 is a wasteful number, since it uses less digits than its factorization.

1142103354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109396919 (or 109396912 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1142103354120 its reverse (214533012411), we get a palindrome (1356636366531).

The spelling of 1142103354120 in words is "one trillion, one hundred forty-two billion, one hundred three million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 109396873 218793746 328190619 437587492 546984365 656381238 875174984 984571857 1093968730 1312762476 1640953095 1969143714 2187937460 2625524952 3172509317 3281906190 3938287428 4375874920 4922859285 6345018634 6563812380 7876574856 9517527951 9845718570 12690037268 13127624760 15862546585 19035055902 19691437140 25380074536 28552583853 31725093170 38070111804 39382874280 47587639755 57105167706 63450186340 76140223608 95175279510 114210335412 126900372680 142762919265 190350559020 228420670824 285525838530 380701118040 571051677060 1142103354120