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103210000020 = 223253715496997
BaseRepresentation
bin110000000011111001…
…0111001111010010100
3100212101212211020110100
41200013302321322110
53142333230000040
6115225232254100
710312432345101
oct1400762717224
9325355736410
10103210000020
113a853399686
12180049a1330
13996a86cb3a
144dd14cdaa8
152a40e60b30
hex1807cb9e94

103210000020 has 72 divisors (see below), whose sum is σ = 321531714504. Its totient is φ = 26778809088.

The previous prime is 103210000013. The next prime is 103210000027. The reversal of 103210000020 is 20000012301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103210000013) and next prime (103210000027).

It can be written as a sum of positive squares in 4 ways, for example, as 60144619536 + 43065380484 = 245244^2 + 207522^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103209999957 and 103210000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210000027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7741839 + ... + 7755158.

It is an arithmetic number, because the mean of its divisors is an integer number (4465718257).

Almost surely, 2103210000020 is an apocalyptic number.

103210000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103210000020 is an abundant number, since it is smaller than the sum of its proper divisors (218321714484).

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

103210000020 is a wasteful number, since it uses less digits than its factorization.

103210000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497049 (or 15497044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103210000020 its reverse (20000012301), we get a palindrome (123210012321).

The spelling of 103210000020 in words is "one hundred three billion, two hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15496997 30993994 46490991 61987988 77484985 92981982 139472973 154969970 185963964 232454955 278945946 309939940 464909910 557891892 573388889 697364865 929819820 1146777778 1394729730 1720166667 2293555556 2789459460 2866944445 3440333334 5160500001 5733888890 6880666668 8600833335 10321000002 11467777780 17201666670 20642000004 25802500005 34403333340 51605000010 103210000020