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11322030424440 = 23351036071509097
BaseRepresentation
bin1010010011000001110110…
…0110100000000101111000
31111002101010202201020000110
42210300131212200011320
52441000004242040230
640025134033104320
72245663316501451
oct244603546400570
944071122636013
1011322030424440
11367571201215a
12132a3510b80a0
13641880497b68
142b1dbc4d8128
151497a2ea64b0
hexa4c1d9a0178

11322030424440 has 128 divisors (see below), whose sum is σ = 34352382504960. Its totient is φ = 2984967742464.

The previous prime is 11322030424423. The next prime is 11322030424447. The reversal of 11322030424440 is 4442403022311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11322030424398 and 11322030424407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322030424447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747972 + ... + 8257068.

It is an arithmetic number, because the mean of its divisors is an integer number (268377988320).

Almost surely, 211322030424440 is an apocalyptic number.

11322030424440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322030424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176191252480).

11322030424440 is an abundant number, since it is smaller than the sum of its proper divisors (23030352080520).

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

11322030424440 is a wasteful number, since it uses less digits than its factorization.

11322030424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509821 (or 1509817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11322030424440 its reverse (4442403022311), we get a palindrome (15764433446751).

The spelling of 11322030424440 in words is "eleven trillion, three hundred twenty-two billion, thirty million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 607 618 824 1030 1214 1236 1545 1821 2060 2428 2472 3035 3090 3642 4120 4856 6070 6180 7284 9105 12140 12360 14568 18210 24280 36420 62521 72840 125042 187563 250084 312605 375126 500168 625210 750252 937815 1250420 1500504 1509097 1875630 2500840 3018194 3751260 4527291 6036388 7502520 7545485 9054582 12072776 15090970 18109164 22636455 30181940 36218328 45272910 60363880 90545820 155436991 181091640 310873982 466310973 621747964 777184955 916021879 932621946 1243495928 1554369910 1832043758 1865243892 2331554865 2748065637 3108739820 3664087516 3730487784 4580109395 4663109730 5496131274 6217479640 7328175032 9160218790 9326219460 10992262548 13740328185 18320437580 18652438920 21984525096 27480656370 36640875160 54961312740 94350253537 109922625480 188700507074 283050760611 377401014148 471751267685 566101521222 754802028296 943502535370 1132203042444 1415253803055 1887005070740 2264406084888 2830507606110 3774010141480 5661015212220 11322030424440