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102030242220 = 22385777551
BaseRepresentation
bin101111100000101111…
…0011111000110101100
3100202100122220100000000
41133001132133012230
53132424220222340
6114512210104300
710241255515014
oct1370136370654
9322318810000
10102030242220
113a2a8459135
121793587b090
1398103150ba
144d1c94cc44
1529c25c2d30
hex17c179f1ac

102030242220 has 108 divisors (see below), whose sum is σ = 321379347744. Its totient is φ = 27208029600.

The previous prime is 102030242191. The next prime is 102030242227. The reversal of 102030242220 is 22242030201.

102030242220 is a `hidden beast` number, since 1 + 0 + 203 + 0 + 242 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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 = 102030242193 and 102030242202.

It is not an unprimeable number, because it can be changed into a prime (102030242227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257556 + ... + 519995.

Almost surely, 2102030242220 is an apocalyptic number.

102030242220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102030242220 is an abundant number, since it is smaller than the sum of its proper divisors (219349105524).

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

102030242220 is an frugal number, since it uses more digits than its factorization.

102030242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777584 (or 777561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102030242220 its reverse (22242030201), we get a palindrome (124272272421).

The spelling of 102030242220 in words is "one hundred two billion, thirty million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 21870 26244 32805 43740 65610 131220 777551 1555102 2332653 3110204 3887755 4665306 6997959 7775510 9330612 11663265 13995918 15551020 20993877 23326530 27991836 34989795 41987754 46653060 62981631 69979590 83975508 104969385 125963262 139959180 188944893 209938770 251926524 314908155 377889786 419877540 566834679 629816310 755779572 944724465 1133669358 1259632620 1700504037 1889448930 2267338716 2834173395 3401008074 3778897860 5101512111 5668346790 6802016148 8502520185 10203024222 11336693580 17005040370 20406048444 25507560555 34010080740 51015121110 102030242220