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101168240796 = 223271753445573
BaseRepresentation
bin101111000111000011…
…0001101100010011100
3100200010120220010100100
41132032012031202130
53124143032201141
6114250454301100
710211020600230
oct1361606154234
9320116803310
10101168240796
11399a591a767
1217735057790
13970386429c
144c7a2845c0
152971aa00b6
hex178e18d89c

101168240796 has 144 divisors (see below), whose sum is σ = 315295291584. Its totient is φ = 26691545088.

The previous prime is 101168240773. The next prime is 101168240857. The reversal of 101168240796 is 697042861101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266 + ... + 449838.

It is an arithmetic number, because the mean of its divisors is an integer number (2189550636).

Almost surely, 2101168240796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101168240796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157647645792).

101168240796 is an abundant number, since it is smaller than the sum of its proper divisors (214127050788).

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

101168240796 is a wasteful number, since it uses less digits than its factorization.

101168240796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445660 (or 445655 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101168240796 in words is "one hundred one billion, one hundred sixty-eight million, two hundred forty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 53 63 68 84 102 106 119 126 153 159 204 212 238 252 306 318 357 371 476 477 612 636 714 742 901 954 1071 1113 1428 1484 1802 1908 2142 2226 2703 3339 3604 4284 4452 5406 6307 6678 8109 10812 12614 13356 16218 18921 25228 32436 37842 56763 75684 113526 227052 445573 891146 1336719 1782292 2673438 3119011 4010157 5346876 6238022 7574741 8020314 9357033 12476044 15149482 16040628 18714066 22724223 23615369 28071099 30298964 37428132 45448446 47230738 53023187 56142198 68172669 70846107 90896892 94461476 106046374 112284396 136345338 141692214 159069561 165307583 212092748 212538321 272690676 283384428 318139122 330615166 401461273 425076642 477208683 495922749 636278244 661230332 802922546 850153284 954417366 991845498 1204383819 1487768247 1605845092 1908834732 1983690996 2408767638 2810228911 2975536494 3613151457 4817535276 5620457822 5951072988 7226302914 8430686733 11240915644 14452605828 16861373466 25292060199 33722746932 50584120398 101168240796