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103332130020 = 223257211715661
BaseRepresentation
bin110000000111100010…
…0110010110011100100
3100212201101122002022200
41200033010302303210
53143111011130040
6115245314054500
710315444420200
oct1401704626344
9325641562280
10103332130020
113a906325769
121803987a430
139989c61402
145003801b00
152a4ba37630
hex180f132ce4

103332130020 has 108 divisors (see below), whose sum is σ = 364614832764. Its totient is φ = 23618770560.

The previous prime is 103332130009. The next prime is 103332130123. The reversal of 103332130020 is 20031233301.

103332130020 is a `hidden beast` number, since 10 + 3 + 332 + 1 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28734318144 + 74597811876 = 169512^2 + 273126^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103332129975 and 103332130002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5849011 + ... + 5866650.

Almost surely, 2103332130020 is an apocalyptic number.

103332130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332130020 is an abundant number, since it is smaller than the sum of its proper divisors (261282702744).

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

103332130020 is a wasteful number, since it uses less digits than its factorization.

103332130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11715690 (or 11715678 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103332130020 its reverse (20031233301), we get a palindrome (123363363321).

The spelling of 103332130020 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 11715661 23431322 35146983 46862644 58578305 70293966 82009627 105440949 117156610 140587932 164019254 175734915 210881898 234313220 246028881 328038508 351469830 410048135 421763796 492057762 527204745 574067389 702939660 738086643 820096270 984115524 1054409490 1148134778 1230144405 1476173286 1640192540 1722202167 2108818980 2296269556 2460288810 2870336945 2952346572 3444404334 3690433215 4920577620 5166606501 5740673890 6888808668 7380866430 8611010835 10333213002 11481347780 14761732860 17222021670 20666426004 25833032505 34444043340 51666065010 103332130020