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101226314240106 = 23119725162994703
BaseRepresentation
bin10111000001000010010110…
…100000001001000001101010
3111021102010210212220112120120
4113001002112200021001222
5101231442442421140411
6555142420552504110
730215234301166416
oct2701022640110152
9437363725815516
10101226314240106
112a287925473340
12b42a4079ab036
1344637a6319913
141add54606dd46
15ba81de732106
hex5c109680906a

101226314240106 has 64 divisors (see below), whose sum is σ = 224023278237696. Its totient is φ = 30237456960000.

The previous prime is 101226314240083. The next prime is 101226314240111. The reversal of 101226314240106 is 601042413622101.

It is a happy number.

It is a super-3 number, since 3×1012263142401063 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29890450 + ... + 33104253.

It is an arithmetic number, because the mean of its divisors is an integer number (3500363722464).

Almost surely, 2101226314240106 is an apocalyptic number.

101226314240106 is an abundant number, since it is smaller than the sum of its proper divisors (122796963997590).

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

101226314240106 is a wasteful number, since it uses less digits than its factorization.

101226314240106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62995067.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 101226314240106 its reverse (601042413622101), we get a palindrome (702268727862207).

The spelling of 101226314240106 in words is "one hundred one trillion, two hundred twenty-six billion, three hundred fourteen million, two hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 97 194 251 291 502 582 753 1067 1506 2134 2761 3201 5522 6402 8283 16566 24347 48694 73041 146082 267817 535634 803451 1606902 62994703 125989406 188984109 377968218 692941733 1385883466 2078825199 4157650398 6110486191 12220972382 15811670453 18331458573 31623340906 36662917146 47435011359 67215348101 94870022718 134430696202 173928374983 201646044303 347856749966 403292088606 521785124949 1043570249898 1533732033941 3067464067882 4601196101823 9202392203646 16871052373351 33742104746702 50613157120053 101226314240106