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102031320020 = 225729103243989
BaseRepresentation
bin101111100000110001…
…0100110001111010100
3100202100201221002110112
41133001202212033110
53132430004220040
6114512245142152
710241300624210
oct1370142461724
9322321832415
10102031320020
113a2a9024983
12179360ba958
139810601856
144d1cb4d940
1529c2737365
hex17c18a63d4

102031320020 has 96 divisors (see below), whose sum is σ = 255779596800. Its totient is φ = 33447826944.

The previous prime is 102031320007. The next prime is 102031320037. The reversal of 102031320020 is 20023130201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102031319977 and 102031320004.

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, 296186 + ... + 540174.

It is an arithmetic number, because the mean of its divisors is an integer number (2664370800).

Almost surely, 2102031320020 is an apocalyptic number.

102031320020 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 102031320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127889798400).

102031320020 is an abundant number, since it is smaller than the sum of its proper divisors (153748276780).

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

102031320020 is a wasteful number, since it uses less digits than its factorization.

102031320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244137 (or 244135 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102031320020 its reverse (20023130201), we get a palindrome (122054450221).

The spelling of 102031320020 in words is "one hundred two billion, thirty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 103 116 140 145 203 206 290 406 412 515 580 721 812 1015 1030 1442 2030 2060 2884 2987 3605 4060 5974 7210 11948 14420 14935 20909 29870 41818 59740 83636 104545 209090 243989 418180 487978 975956 1219945 1707923 2439890 3415846 4879780 6831692 7075681 8539615 14151362 17079230 25130867 28302724 34158460 35378405 49529767 50261734 70756810 99059534 100523468 125654335 141513620 175916069 198119068 247648835 251308670 351832138 495297670 502617340 703664276 728795143 879580345 990595340 1457590286 1759160690 2915180572 3518321380 3643975715 5101566001 7287951430 10203132002 14575902860 20406264004 25507830005 51015660010 102031320020