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340100022212322 = 233161773116333343
BaseRepresentation
bin100110101010100011011010…
…1000000110001011011100010
31122121012020121022022102222220
41031111012311000301123202
5324034144321141243242
63203155443203411510
7131431262412364221
oct11525066500613342
91577166538272886
10340100022212322
1199403678171089
12321897b5383b96
13117a03a9c883a8
145ddad00cb4cb8
15294bbae701bec
hex13551b50316e2

340100022212322 has 128 divisors (see below), whose sum is σ = 715211604099072. Its totient is φ = 107675668396800.

The previous prime is 340100022212317. The next prime is 340100022212329. The reversal of 340100022212322 is 223212220001043.

It is a junction number, because it is equal to n+sod(n) for n = 340100022212292 and 340100022212301.

It is not an unprimeable number, because it can be changed into a prime (340100022212329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10200025983 + ... + 10200059325.

It is an arithmetic number, because the mean of its divisors is an integer number (5587590657024).

Almost surely, 2340100022212322 is an apocalyptic number.

340100022212322 is an abundant number, since it is smaller than the sum of its proper divisors (375111581886750).

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

340100022212322 is a wasteful number, since it uses less digits than its factorization.

340100022212322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35376.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340100022212322 its reverse (223212220001043), we get a palindrome (563312242213365).

The spelling of 340100022212322 in words is "three hundred forty trillion, one hundred billion, twenty-two million, two hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 31 61 62 93 122 183 186 366 773 1163 1546 1891 2319 2326 3489 3782 4638 5673 6978 11346 23963 33343 36053 47153 47926 66686 70943 71889 72106 94306 100029 108159 141459 141886 143778 200058 212829 216318 282918 425658 898999 1033633 1461743 1797998 2033923 2067266 2199233 2696997 2923486 3100899 4067846 4385229 4398466 5393994 6101769 6201798 6597699 8770458 12203538 13195398 25774139 27868969 38777909 51548278 54838939 55737938 63051613 77322417 77555818 83606907 109677878 116333727 126103226 154644834 164516817 167213814 189154839 232667454 329033634 378309678 798998309 1202115179 1572222479 1597996618 1700007109 2365452449 2396994927 2404230358 3144444958 3400014218 3606345537 4716667437 4730904898 4793989854 5100021327 7096357347 7212691074 9433334874 10200042654 14192714694 29975323657 48738896849 59950647314 73329025919 89925970971 97477793698 146216690547 146658051838 179851941942 219987077757 292433381094 439974155514 929235033367 1828494743077 1858470066734 2787705100101 3656989486154 5485484229231 5575410200202 10970968458462 56683337035387 113366674070774 170050011106161 340100022212322