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114001002301110 = 23517219692047607
BaseRepresentation
bin11001111010111011101101…
…001111110000011010110110
3112221122101111212020122200120
4121322323231033300122312
5104420243023042113420
61042243200520352410
733004205053116441
oct3172735517603266
9487571455218616
10114001002301110
113336260a887491
12109521a9015706
134b7c32c931572
14202196c42a658
15d2a6636a5d40
hex67aeed3f06b6

114001002301110 has 96 divisors (see below), whose sum is σ = 305940406544640. Its totient is φ = 27106120631808.

The previous prime is 114001002301003. The next prime is 114001002301133. The reversal of 114001002301110 is 11103200100411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114001002301110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345859074 + ... + 346188533.

It is an arithmetic number, because the mean of its divisors is an integer number (3186879234840).

Almost surely, 2114001002301110 is an apocalyptic number.

114001002301110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114001002301110 is an abundant number, since it is smaller than the sum of its proper divisors (191939404243530).

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

114001002301110 is a wasteful number, since it uses less digits than its factorization.

114001002301110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692047670 (or 692047653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 114001002301110 its reverse (11103200100411), we get a palindrome (125104202401521).

The spelling of 114001002301110 in words is "one hundred fourteen trillion, one billion, two million, three hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 289 323 510 570 578 646 867 969 1445 1615 1734 1938 2890 3230 4335 4845 5491 8670 9690 10982 16473 27455 32946 54910 82365 164730 692047607 1384095214 2076142821 3460238035 4152285642 6920476070 10380714105 11764809319 13148904533 20761428210 23529618638 26297809066 35294427957 39446713599 58824046595 65744522665 70588855914 78893427198 117648093190 131489045330 176472139785 197233567995 200001758423 223531377061 352944279570 394467135990 400003516846 447062754122 600005275269 670594131183 1000008792115 1117656885305 1200010550538 1341188262366 2000017584230 2235313770610 3000026376345 3352970655915 3800033410037 6000052752690 6705941311830 7600066820074 11400100230111 19000167050185 22800200460222 38000334100370 57000501150555 114001002301110