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102203330020 = 225112103521787
BaseRepresentation
bin101111100101111001…
…0110000110111100100
3100202210201121002211021
41133023302300313210
53133303023030040
6114541312020524
710245456654121
oct1371362606744
9322721532737
10102203330020
113a38712a600
1217983831744
13983a138a0c
144d37927748
1529d28b324a
hex17cbcb0de4

102203330020 has 144 divisors (see below), whose sum is σ = 238963181184. Its totient is φ = 36686707200.

The previous prime is 102203329999. The next prime is 102203330023. The reversal of 102203330020 is 20033302201.

102203330020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102203329976 and 102203330003.

It is not an unprimeable number, because it can be changed into a prime (102203330023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129864067 + ... + 129864853.

It is an arithmetic number, because the mean of its divisors is an integer number (1659466536).

Almost surely, 2102203330020 is an apocalyptic number.

102203330020 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 102203330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119481590592).

102203330020 is an abundant number, since it is smaller than the sum of its proper divisors (136759851164).

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

102203330020 is a wasteful number, since it uses less digits than its factorization.

102203330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 102203330020 its reverse (20033302201), we get a palindrome (122236632221).

The spelling of 102203330020 in words is "one hundred two billion, two hundred three million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 121 206 220 242 412 484 515 521 605 787 1030 1042 1133 1210 1574 2060 2084 2266 2420 2605 3148 3935 4532 5210 5665 5731 7870 8657 10420 11330 11462 12463 15740 17314 22660 22924 24926 28655 34628 43285 49852 53663 57310 62315 63041 81061 86570 95227 107326 114620 124630 126082 162122 173140 190454 214652 249260 252164 268315 315205 324244 380908 405305 410027 476135 536630 590293 630410 810610 820054 891671 952270 1073260 1180586 1260820 1621220 1640108 1783342 1904540 2050135 2361172 2951465 3566684 4100270 4458355 4510297 5902930 6493223 8200540 8916710 9020594 9808381 11805860 12986446 17833420 18041188 19616762 22551485 25972892 32466115 39233524 42232781 45102970 49041905 49613267 64932230 84465562 90205940 98083810 99226534 129864460 168931124 196167620 198453068 211163905 248066335 422327810 464560591 496132670 844655620 929121182 992265340 1858242364 2322802955 4645605910 5110166501 9291211820 10220333002 20440666004 25550832505 51101665010 102203330020