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1002020222112 = 253721316385731
BaseRepresentation
bin11101001010011010000…
…11110011010010100000
310112210101111211100020020
432211031003303102200
5112404114134101422
62044153254513440
7132251665233300
oct16451503632240
93483344740206
101002020222112
11356a55324748
12142246665880
137364a9a3440
14366d8887600
151b0e8cc095c
hexe94d0f34a0

1002020222112 has 144 divisors (see below), whose sum is σ = 3295105162272. Its totient is φ = 264269053440.

The previous prime is 1002020222087. The next prime is 1002020222129. The reversal of 1002020222112 is 2112220202001.

It is a junction number, because it is equal to n+sod(n) for n = 1002020222091 and 1002020222100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8131714 + ... + 8254017.

It is an arithmetic number, because the mean of its divisors is an integer number (22882674738).

Almost surely, 21002020222112 is an apocalyptic number.

1002020222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002020222112 is an abundant number, since it is smaller than the sum of its proper divisors (2293084940160).

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

1002020222112 is a wasteful number, since it uses less digits than its factorization.

1002020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385771 (or 16385756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002020222112 its reverse (2112220202001), we get a palindrome (3114240424113).

The spelling of 1002020222112 in words is "one trillion, two billion, twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 16385731 32771462 49157193 65542924 98314386 114700117 131085848 196628772 213014503 229400234 262171696 344100351 393257544 426029006 458800468 524343392 639043509 688200702 786515088 802900819 852058012 917600936 1278087018 1376401404 1491101521 1573030176 1605801638 1704116024 1835201872 2408702457 2556174036 2752802808 2982203042 3211603276 3408232048 3670403744 4473304563 4817404914 5112348072 5505605616 5964406084 6423206552 6816464096 8946609126 9634809828 10224696144 10437710647 11011211232 11928812168 12846413104 17893218252 19269619656 20449392288 20875421294 23857624336 25692826208 31313131941 35786436504 38539239312 41750842588 47715248672 62626263882 71572873008 77078478624 83501685176 125252527764 143145746016 167003370352 250505055528 334006740704 501010111056 1002020222112