Search a number
-
+
122101743667530 = 235116711514797973
BaseRepresentation
bin11011110000110100000111…
…000011101100100101001010
3121000022210221110021201100010
4123300310013003230211022
5112001003332334330110
61111404433333452350
734501363014454434
oct3360640703544512
9530283843251303
10122101743667530
11359a6071129340
1211840176aa10b6
1353191b67c8cc3
142221a82391654
15e1b22e99a020
hex6f0d070ec94a

122101743667530 has 128 divisors (see below), whose sum is σ = 324737934852096. Its totient is φ = 29133285984000.

The previous prime is 122101743667517. The next prime is 122101743667577. The reversal of 122101743667530 is 35766347101221.

It is a self number, because there is not a number n which added to its sum of digits gives 122101743667530.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23049624 + ... + 27847596.

It is an arithmetic number, because the mean of its divisors is an integer number (2537015116032).

Almost surely, 2122101743667530 is an apocalyptic number.

122101743667530 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 122101743667530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162368967426048).

122101743667530 is an abundant number, since it is smaller than the sum of its proper divisors (202636191184566).

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

122101743667530 is a wasteful number, since it uses less digits than its factorization.

122101743667530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799212.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 122101743667530 in words is "one hundred twenty-two trillion, one hundred one billion, seven hundred forty-three million, six hundred sixty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1151 1474 2010 2211 2302 3453 3685 4422 5755 6906 7370 11055 11510 12661 17265 22110 25322 34530 37983 63305 75966 77117 126610 154234 189915 231351 379830 385585 462702 771170 848287 1156755 1696574 2313510 2544861 4241435 4797973 5089722 8482870 9595946 12724305 14393919 23989865 25448610 28787838 47979730 52777703 71969595 105555406 143939190 158333109 263888515 316666218 321464191 527777030 642928382 791665545 964392573 1583331090 1607320955 1928785146 3214641910 3536106101 4821962865 5522466923 7072212202 9643925730 10608318303 11044933846 16567400769 17680530505 21216636606 27612334615 33134801538 35361061010 53041591515 55224669230 60747136153 82837003845 106083183030 121494272306 165674007690 182241408459 303735680765 364482816918 370005283841 607471361530 740010567682 911207042295 1110015851523 1822414084590 1850026419205 2220031703046 3700052838410 4070058122251 5550079257615 8140116244502 11100158515230 12210174366753 20350290611255 24420348733506 40700581222510 61050871833765 122101743667530