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114012422502100 = 225219299587215833
BaseRepresentation
bin11001111011000110010101…
…111100010111011011010100
3112221200110222202100222022121
4121323012111330113123110
5104420434420130031400
61042252330035105324
733005061054201163
oct3173062574273324
9487613882328277
10114012422502100
1133367440228521
1210954455742244
134b8042c921245
14202233303d3da
15d2aad109921a
hex67b195f176d4

114012422502100 has 144 divisors (see below), whose sum is σ = 269438014238400. Its totient is φ = 41710345528320.

The previous prime is 114012422502079. The next prime is 114012422502101. The reversal of 114012422502100 is 1205224210411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012422502101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528135784 + ... + 528351616.

It is an arithmetic number, because the mean of its divisors is an integer number (1871097321100).

Almost surely, 2114012422502100 is an apocalyptic number.

114012422502100 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 114012422502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719007119200).

114012422502100 is an abundant number, since it is smaller than the sum of its proper divisors (155425591736300).

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

114012422502100 is a wasteful number, since it uses less digits than its factorization.

114012422502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225482 (or 225475 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 114012422502100 its reverse (1205224210411), we get a palindrome (115217646712511).

The spelling of 114012422502100 in words is "one hundred fourteen trillion, twelve billion, four hundred twenty-two million, five hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 9587 11020 13775 19174 27550 38348 47935 55100 95870 182153 191740 215833 239675 278023 364306 431666 479350 556046 728612 863332 910765 958700 1079165 1112092 1390115 1821530 2158330 2780230 3643060 4100827 4316660 4553825 5282437 5395825 5560460 6259157 6950575 8201654 9107650 10564874 10791650 12518314 13901150 16403308 18215300 20504135 21129748 21583300 25036628 26412185 27802300 31295785 41008270 52824370 62591570 82016540 102520675 105648740 118923983 125183140 132060925 156478925 205041350 237847966 264121850 312957850 410082700 475695932 528243700 594619915 625915700 1189239830 2069190971 2378479660 2973099575 4138381942 5946199150 8276763884 10345954855 11892398300 20691909710 39314628449 41383819420 51729774275 60006538159 78629256898 103459548550 120013076318 157258513796 196573142245 206919097100 240026152636 300032690795 393146284490 600065381590 786292568980 982865711225 1140124225021 1200130763180 1500163453975 1965731422450 2280248450042 3000326907950 3931462844900 4560496900084 5700621125105 6000653815900 11401242250210 22802484500420 28503105625525 57006211251050 114012422502100