Search a number
-
+
102332022132120 = 233511147315262661
BaseRepresentation
bin10111010001001000000111…
…110101000000110110011000
3111102022211211120101021011020
4113101020013311000312120
5101403101440131211440
61001350403150202440
730361146622202514
oct2721100765006630
9442284746337136
10102332022132120
112a673848781060
12b58876b1b3420
134513b397c7091
141b3ac79629144
15bc6d5636a3d0
hex5d1207d40d98

102332022132120 has 128 divisors (see below), whose sum is σ = 334927598042880. Its totient is φ = 24806074176000.

The previous prime is 102332022132103. The next prime is 102332022132247. The reversal of 102332022132120 is 21231220233201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16813590 + ... + 22076250.

It is an arithmetic number, because the mean of its divisors is an integer number (2616621859710).

Almost surely, 2102332022132120 is an apocalyptic number.

102332022132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332022132120 is an abundant number, since it is smaller than the sum of its proper divisors (232595575910760).

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

102332022132120 is a wasteful number, since it uses less digits than its factorization.

102332022132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277417 (or 5277413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102332022132120 its reverse (21231220233201), we get a palindrome (123563242365321).

The spelling of 102332022132120 in words is "one hundred two trillion, three hundred thirty-two billion, twenty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 14731 29462 44193 58924 73655 88386 117848 147310 162041 176772 220965 294620 324082 353544 441930 486123 589240 648164 810205 883860 972246 1296328 1620410 1767720 1944492 2430615 3240820 3888984 4861230 5262661 6481640 9722460 10525322 15787983 19444920 21050644 26313305 31575966 42101288 52626610 57889271 63151932 78939915 105253220 115778542 126303864 157879830 173667813 210506440 231557084 289446355 315759660 347335626 463114168 578892710 631519320 694671252 868339065 1157785420 1389342504 1736678130 2315570840 3473356260 6946712520 77524259191 155048518382 232572777573 310097036764 387621295955 465145555146 620194073528 775242591910 852766851101 930291110292 1162863887865 1550485183820 1705533702202 1860582220584 2325727775730 2558300553303 3100970367640 3411067404404 4263834255505 4651455551460 5116601106606 6822134808808 8527668511010 9302911102920 10233202213212 12791502766515 17055337022020 20466404426424 25583005533030 34110674044040 51166011066060 102332022132120