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101121130320 = 2435760191149
BaseRepresentation
bin101111000101101001…
…0011111111101010000
3100200000022020122220220
41132023102133331100
53124044002132240
6114242052433040
710206606266010
oct1361322377520
9320008218826
10101121130320
1139981272991
1217721318780
1396c6b7b172
144c73cddc40
15296c8965d0
hex178b49ff50

101121130320 has 80 divisors (see below), whose sum is σ = 358257724800. Its totient is φ = 23113400832.

The previous prime is 101121130303. The next prime is 101121130321. The reversal of 101121130320 is 23031121101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 101121130320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121130321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30093895 + ... + 30097254.

It is an arithmetic number, because the mean of its divisors is an integer number (4478221560).

Almost surely, 2101121130320 is an apocalyptic number.

101121130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121130320 is an abundant number, since it is smaller than the sum of its proper divisors (257136594480).

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

101121130320 is a wasteful number, since it uses less digits than its factorization.

101121130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60191172 (or 60191166 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101121130320 its reverse (23031121101), we get a palindrome (124152251421).

The spelling of 101121130320 in words is "one hundred one billion, one hundred twenty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 60191149 120382298 180573447 240764596 300955745 361146894 421338043 481529192 601911490 722293788 842676086 902867235 963058384 1203822980 1264014129 1444587576 1685352172 1805734470 2106690215 2407645960 2528028258 2889175152 3370704344 3611468940 4213380430 4815291920 5056056516 6320070645 6741408688 7222937880 8426760860 10112113032 12640141290 14445875760 16853521720 20224226064 25280282580 33707043440 50560565160 101121130320