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1022211011120 = 245131576260479
BaseRepresentation
bin11101110000000001000…
…01100011001000110000
310121201111122100200210112
432320000201203020300
5113221442004323440
62101333001320452
7133565225142335
oct16700041431060
93551448320715
101022211011120
11364576515332
12146140496128
1375517a5b980
143769223498c
151b8cb676965
hexee00863230

1022211011120 has 80 divisors (see below), whose sum is σ = 2575761807360. Its totient is φ = 375027674112.

The previous prime is 1022211011119. The next prime is 1022211011141. The reversal of 1022211011120 is 211101122201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1022211011095 and 1022211011104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966960 + ... + 3293519.

It is an arithmetic number, because the mean of its divisors is an integer number (32197022592).

Almost surely, 21022211011120 is an apocalyptic number.

1022211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022211011120 is an abundant number, since it is smaller than the sum of its proper divisors (1553550796240).

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

1022211011120 is a wasteful number, since it uses less digits than its factorization.

1022211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260662 (or 6260656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022211011120 its reverse (211101122201), we get a palindrome (1233312133321).

The spelling of 1022211011120 in words is "one trillion, twenty-two billion, two hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 520 628 785 1040 1256 1570 2041 2512 3140 4082 6280 8164 10205 12560 16328 20410 32656 40820 81640 163280 6260479 12520958 25041916 31302395 50083832 62604790 81386227 100167664 125209580 162772454 250419160 325544908 406931135 500838320 651089816 813862270 982895203 1302179632 1627724540 1965790406 3255449080 3931580812 4914476015 6510898160 7863161624 9828952030 12777637639 15726323248 19657904060 25555275278 39315808120 51110550556 63888188195 78631616240 102221101112 127776376390 204442202224 255552752780 511105505560 1022211011120