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102200031220020 = 223519154358100551
BaseRepresentation
bin10111001111001101001100…
…100011101001000100110100
3111101212020010220012012120020
4113033031030203221010310
5101343421130443020040
61001210013551005140
730345465022023636
oct2717151443510464
9441766126165506
10102200031220020
112a622876302228
12b5670738097b0
13450456330a866
141b3471798ca56
15bc36cd83bcd0
hex5cf34c8e9134

102200031220020 has 96 divisors (see below), whose sum is σ = 301416367687680. Its totient is φ = 25802221852800.

The previous prime is 102200031219959. The next prime is 102200031220037. The reversal of 102200031220020 is 20022130002201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27291256 + ... + 30809295.

It is an arithmetic number, because the mean of its divisors is an integer number (3139753830080).

Almost surely, 2102200031220020 is an apocalyptic number.

102200031220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200031220020 is an abundant number, since it is smaller than the sum of its proper divisors (199216336467660).

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

102200031220020 is a wasteful number, since it uses less digits than its factorization.

102200031220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58102125 (or 58102123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102200031220020 its reverse (20022130002201), we get a palindrome (122222161222221).

The spelling of 102200031220020 in words is "one hundred two trillion, two hundred billion, thirty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1543 3086 4629 6172 7715 9258 15430 18516 23145 29317 30860 46290 58634 87951 92580 117268 146585 175902 293170 351804 439755 586340 879510 1759020 58100551 116201102 174301653 232402204 290502755 348603306 581005510 697206612 871508265 1103910469 1162011020 1743016530 2207820938 3311731407 3486033060 4415641876 5519552345 6623462814 11039104690 13246925628 16558657035 22078209380 33117314070 66234628140 89649150193 179298300386 268947450579 358596600772 448245750965 537894901158 896491501930 1075789802316 1344737252895 1703333853667 1792983003860 2689474505790 3406667707334 5110001561001 5378949011580 6813335414668 8516669268335 10220003122002 17033338536670 20440006244004 25550007805005 34066677073340 51100015610010 102200031220020