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101122234340 = 22519683389621
BaseRepresentation
bin101111000101101011…
…0101101011111100100
3100200000101022202100112
41132023112231133210
53124044242444330
6114242132232152
710206621544511
oct1361326553744
9320011282315
10101122234340
11399819573a6
121772176b658
1396c717682a
144c7410a308
15296ca13795
hex178b5ad7e4

101122234340 has 48 divisors (see below), whose sum is σ = 223861216320. Its totient is φ = 38263800960.

The previous prime is 101122234307. The next prime is 101122234373. The reversal of 101122234340 is 43432221101.

It is an interprime number because it is at equal distance from previous prime (101122234307) and next prime (101122234373).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64730 + ... + 454350.

It is an arithmetic number, because the mean of its divisors is an integer number (4663775340).

Almost surely, 2101122234340 is an apocalyptic number.

101122234340 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 101122234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930608160).

101122234340 is an abundant number, since it is smaller than the sum of its proper divisors (122738981980).

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

101122234340 is a wasteful number, since it uses less digits than its factorization.

101122234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390332 (or 390330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101122234340 its reverse (43432221101), we get a palindrome (144554455441).

The spelling of 101122234340 in words is "one hundred one billion, one hundred twenty-two million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 683 1366 2732 3415 6830 12977 13660 25954 51908 64885 129770 259540 389621 779242 1558484 1948105 3896210 7402799 7792420 14805598 29611196 37013995 74027990 148055980 266111143 532222286 1064444572 1330555715 2661111430 5056111717 5322222860 10112223434 20224446868 25280558585 50561117170 101122234340