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101321144012312 = 237103101879172421
BaseRepresentation
bin10111000010011010101010…
…110011000000111000011000
3111021202012120201212002121222
4113002122222303000320120
5101240021200331343222
6555254142503551212
730225132255022460
oct2702325263007030
9437665521762558
10101321144012312
112a3140683a3804
12b44487215b508
13446c709938873
141b03d8059aba0
15baa8deadc542
hex5c26aacc0e18

101321144012312 has 64 divisors (see below), whose sum is σ = 219228089932800. Its totient is φ = 43001090052480.

The previous prime is 101321144012311. The next prime is 101321144012323. The reversal of 101321144012312 is 213210441123101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321144012311) 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, 587551862 + ... + 587724282.

It is an arithmetic number, because the mean of its divisors is an integer number (3425438905200).

Almost surely, 2101321144012312 is an apocalyptic number.

It is an amenable number.

101321144012312 is an abundant number, since it is smaller than the sum of its proper divisors (117906945920488).

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

101321144012312 is a wasteful number, since it uses less digits than its factorization.

101321144012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274416 (or 274412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101321144012312 its reverse (213210441123101), we get a palindrome (314531585135413).

The spelling of 101321144012312 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred forty-four million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768 101879 172421 203758 344842 407516 689684 713153 815032 1206947 1379368 1426306 2413894 2852612 4827788 5705224 9655576 10493537 17759363 20987074 35518726 41974148 71037452 73454759 83948296 124315541 142074904 146909518 248631082 293819036 497262164 587638072 994524328 17566079059 35132158118 70264316236 122962553413 140528632472 245925106826 491850213652 983700427304 1809306143077 3618612286154 7237224572308 12665143001539 14474449144616 25330286003078 50660572006156 101321144012312