Search a number
-
+
122401111415100 = 223527211276238121
BaseRepresentation
bin11011110101001010111010…
…110001000001100100111100
3121001101102122220111222210120
4123311022322301001210330
5112020404434010240400
61112154143323334540
734532121434361420
oct3365127261014474
9531342586458716
10122401111415100
1136001024448a71
121188a1a4681450
13533b4b5648a3b
142232361552b80
15e23e018b9ca0
hex6f52bac4193c

122401111415100 has 144 divisors (see below), whose sum is σ = 406657874063616. Its totient is φ = 27844802496000.

The previous prime is 122401111415081. The next prime is 122401111415101. The reversal of 122401111415100 is 1514111104221.

122401111415100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122401111415101) 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, 137675961 + ... + 138562160.

Almost surely, 2122401111415100 is an apocalyptic number.

122401111415100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122401111415100 is an abundant number, since it is smaller than the sum of its proper divisors (284256762648516).

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

122401111415100 is a wasteful number, since it uses less digits than its factorization.

122401111415100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276238356 (or 276238349 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 122401111415100 its reverse (1514111104221), we get a palindrome (123915222519321).

The spelling of 122401111415100 in words is "one hundred twenty-two trillion, four hundred one billion, one hundred eleven million, four hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 211 300 350 420 422 525 633 700 844 1050 1055 1266 1477 2100 2110 2532 2954 3165 4220 4431 5275 5908 6330 7385 8862 10550 12660 14770 15825 17724 21100 22155 29540 31650 36925 44310 63300 73850 88620 110775 147700 221550 443100 276238121 552476242 828714363 1104952484 1381190605 1657428726 1933666847 2762381210 3314857452 3867333694 4143571815 5524762420 5801000541 6905953025 7734667388 8287143630 9668334235 11602001082 13811906050 16574287260 19336668470 20717859075 23204002164 27623812100 29005002705 38673336940 41435718150 48341671175 58010005410 58286243531 82871436300 96683342350 116020010820 116572487062 145025013525 174858730593 193366684700 233144974124 290050027050 291431217655 349717461186 408003704717 580100054100 582862435310 699434922372 816007409434 874293652965 1165724870620 1224011114151 1457156088275 1632014818868 1748587305930 2040018523585 2448022228302 2914312176550 3497174611860 4080037047170 4371468264825 4896044456604 5828624353100 6120055570755 8160074094340 8742936529650 10200092617925 12240111141510 17485873059300 20400185235850 24480222283020 30600277853775 40800370471700 61200555707550 122401111415100