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102332101020 = 223537193238837
BaseRepresentation
bin101111101001101110…
…1111111000110011100
3100210010200220100102120
41133103131333012130
53134034004213040
6115002152022540
710251612335562
oct1372335770634
9323120810376
10102332101020
113a442892116
12179ba991a50
13985aa13c86
144d4aa87a32
1529ddd4c7d0
hex17d377f19c

102332101020 has 96 divisors (see below), whose sum is σ = 295799907648. Its totient is φ = 26413350912.

The previous prime is 102332101013. The next prime is 102332101033. The reversal of 102332101020 is 20101233201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 309042 + ... + 547878.

It is an arithmetic number, because the mean of its divisors is an integer number (3081249038).

Almost surely, 2102332101020 is an apocalyptic number.

102332101020 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 102332101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147899953824).

102332101020 is an abundant number, since it is smaller than the sum of its proper divisors (193467806628).

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

102332101020 is a wasteful number, since it uses less digits than its factorization.

102332101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239079 (or 239077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102332101020 its reverse (20101233201), we get a palindrome (122433334221).

The spelling of 102332101020 in words is "one hundred two billion, three hundred thirty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 193 222 370 386 444 555 579 740 772 965 1110 1158 1930 2220 2316 2895 3860 5790 7141 11580 14282 21423 28564 35705 42846 71410 85692 107115 142820 214230 238837 428460 477674 716511 955348 1194185 1433022 2388370 2866044 3582555 4776740 7165110 8836969 14330220 17673938 26510907 35347876 44184845 46095541 53021814 88369690 92191082 106043628 132554535 138286623 176739380 184382164 230477705 265109070 276573246 460955410 530218140 553146492 691433115 921910820 1382866230 1705535017 2765732460 3411070034 5116605051 6822140068 8527675085 10233210102 17055350170 20466420204 25583025255 34110700340 51166050510 102332101020