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102022201031310 = 232573753139594103
BaseRepresentation
bin10111001100100111100101…
…000011010011101010001110
3111101020020010121022121211200
4113030213211003103222032
5101333012431431000220
61000552204020530330
730326601151250160
oct2714474503235216
9441206117277750
10102022201031310
112a56441085041a
12b5387048509a6
1344c0863087b21
141b29c88012930
15bbdc7188a890
hex5cc9e50d3a8e

102022201031310 has 384 divisors, whose sum is σ = 319502097008640. Its totient is φ = 22100822535168.

The previous prime is 102022201031293. The next prime is 102022201031371. The reversal of 102022201031310 is 13130102220201.

102022201031310 is a `hidden beast` number, since 10 + 20 + 2 + 220 + 103 + 1 + 310 = 666.

102022201031310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020222010313102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171427719 + ... + 172021821.

It is an arithmetic number, because the mean of its divisors is an integer number (832036710960).

Almost surely, 2102022201031310 is an apocalyptic number.

102022201031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022201031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159751048504320).

102022201031310 is an abundant number, since it is smaller than the sum of its proper divisors (217479895977330).

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

102022201031310 is a wasteful number, since it uses less digits than its factorization.

102022201031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594352 (or 594349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102022201031310 its reverse (13130102220201), we get a palindrome (115152303251511).

The spelling of 102022201031310 in words is "one hundred two trillion, twenty-two billion, two hundred one million, thirty-one thousand, three hundred ten".