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135010054421430 = 235197691559197569
BaseRepresentation
bin11110101100101001111010…
…010101011011101110110110
3122201000211112211021221110220
4132230221322111123232312
5120144001042412441210
61155050432431355210
740303104002506626
oct3654517225335666
9581024484257426
10135010054421430
113a02249601a391
1213185a2a082b06
135a445166ac636
14254a742dd2886
151091dc4827c70
hex7aca7a55bbb6

135010054421430 has 128 divisors (see below), whose sum is σ = 341742360960000. Its totient is φ = 34041427918848.

The previous prime is 135010054421423. The next prime is 135010054421483. The reversal of 135010054421430 is 34124450010531.

It is a junction number, because it is equal to n+sod(n) for n = 135010054421391 and 135010054421400.

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 63 ways as a sum of consecutive naturals, for example, 683257686 + ... + 683455254.

It is an arithmetic number, because the mean of its divisors is an integer number (2669862195000).

Almost surely, 2135010054421430 is an apocalyptic number.

135010054421430 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 135010054421430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170871180480000).

135010054421430 is an abundant number, since it is smaller than the sum of its proper divisors (206732306538570).

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

135010054421430 is a wasteful number, since it uses less digits than its factorization.

135010054421430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199926.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 135010054421430 in words is "one hundred thirty-five trillion, ten billion, fifty-four million, four hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 769 1538 1559 2307 3118 3845 4614 4677 7690 7795 9354 11535 14611 15590 23070 23385 29222 29621 43833 46770 59242 73055 87666 88863 146110 148105 177726 197569 219165 296210 395138 438330 444315 592707 888630 987845 1185414 1198871 1975690 2397742 2963535 3596613 3753811 5927070 5994355 7193226 7507622 11261433 11988710 17983065 18769055 22522866 22778549 35966130 37538110 45557098 56307165 68335647 112614330 113892745 136671294 151930561 227785490 303861122 308010071 341678235 455791683 616020142 683356470 759652805 911583366 924030213 1519305610 1540050355 1848060426 2278958415 2886680659 3080100710 4557916830 4620151065 5773361318 5852191349 8660041977 9240302130 11704382698 14433403295 17320083954 17556574047 28866806590 29260956745 35113148094 43300209885 58521913490 86600419770 87782870235 175565740470 236859744599 473719489198 710579233797 1184298722995 1421158467594 2368597445990 3552896168985 4500335147381 7105792337970 9000670294762 13501005442143 22501675736905 27002010884286 45003351473810 67505027210715 135010054421430