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10131122220030 = 2335729184840763
BaseRepresentation
bin1001001101101101010111…
…1100001110101111111110
31022212112012022211011221000
42103123111330032233332
52311442014242020110
633314101233151130
72063643440001210
oct223332574165776
938775168734830
1010131122220030
113256648414719
1211775903bb4a6
1358648c690776
142704c567c5b0
1512880157b1c0
hex936d5f0ebfe

10131122220030 has 128 divisors (see below), whose sum is σ = 31940484019200. Its totient is φ = 2235833857152.

The previous prime is 10131122220029. The next prime is 10131122220071. The reversal of 10131122220030 is 3002222113101.

10131122220030 is a `hidden beast` number, since 101 + 311 + 2 + 2 + 220 + 0 + 30 = 666.

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 = 10131122219985 and 10131122220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92365572 + ... + 92475191.

It is an arithmetic number, because the mean of its divisors is an integer number (249535031400).

Almost surely, 210131122220030 is an apocalyptic number.

10131122220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131122220030 is an abundant number, since it is smaller than the sum of its proper divisors (21809361799170).

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

10131122220030 is a wasteful number, since it uses less digits than its factorization.

10131122220030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184840815 (or 184840809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131122220030 its reverse (3002222113101), we get a palindrome (13133344333131).

The spelling of 10131122220030 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 783 870 945 1015 1218 1305 1566 1827 1890 2030 2610 3045 3654 3915 5481 6090 7830 9135 10962 18270 27405 54810 184840763 369681526 554522289 924203815 1109044578 1293885341 1663566867 1848407630 2587770682 2772611445 3327133734 3881656023 4990700601 5360382127 5545222890 6469426705 7763312046 8317834335 9981401202 10720764254 11644968069 12938853410 16081146381 16635668670 19408280115 23289936138 24953503005 26801910635 32162292762 34934904207 37522674889 38816560230 48243439143 49907006010 53603821270 58224840345 69869808414 75045349778 80405731905 96486878286 112568024667 116449680690 144730317429 160811463810 174674521035 187613374445 225136049334 241217195715 289460634858 337704074001 349349042070 375226748890 482434391430 562840123335 675408148002 723651587145 1013112222003 1125680246670 1447303174290 1688520370005 2026224444006 3377040740010 5065561110015 10131122220030