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101220132120 = 23351994238699
BaseRepresentation
bin101111001000100110…
…0001010010100011000
3100200021012112110212020
41132101030022110120
53124244323211440
6114255550414440
710212220633002
oct1362114122430
9320235473766
10101220132120
1139a22142458
121774a501420
139711532503
144c83111372
1529764003d0
hex179130a518

101220132120 has 64 divisors (see below), whose sum is σ = 305186400000. Its totient is φ = 26856390528.

The previous prime is 101220132109. The next prime is 101220132131. The reversal of 101220132120 is 21231022101.

It is an interprime number because it is at equal distance from previous prime (101220132109) and next prime (101220132131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101220132120.

It is a congruent number.

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, 2095470 + ... + 2143229.

It is an arithmetic number, because the mean of its divisors is an integer number (4768537500).

Almost surely, 2101220132120 is an apocalyptic number.

101220132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220132120 is an abundant number, since it is smaller than the sum of its proper divisors (203966267880).

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

101220132120 is a wasteful number, since it uses less digits than its factorization.

101220132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238912 (or 4238908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101220132120 its reverse (21231022101), we get a palindrome (122451154221).

The spelling of 101220132120 in words is "one hundred one billion, two hundred twenty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1990 2388 2985 3980 4776 5970 7960 11940 23880 4238699 8477398 12716097 16954796 21193495 25432194 33909592 42386990 50864388 63580485 84773980 101728776 127160970 169547960 254321940 508643880 843501101 1687002202 2530503303 3374004404 4217505505 5061006606 6748008808 8435011010 10122013212 12652516515 16870022020 20244026424 25305033030 33740044040 50610066060 101220132120