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1022111210120 = 2357111325527253
BaseRepresentation
bin11101101111110101001…
…00110101101010001000
310121201020200120021120012
432313322210311222020
5113221240432210440
62101315034251052
7133562603636330
oct16677244655210
93551220507505
101022111210120
1136452514a370
12146112b86a88
1375500187920
1437682c960c0
151b8c2a10e65
hexedfa935a88

1022111210120 has 128 divisors (see below), whose sum is σ = 3087776643840. Its totient is φ = 294073943040.

The previous prime is 1022111210117. The next prime is 1022111210167. The reversal of 1022111210120 is 210121112201.

It is a super-2 number, since 2×10221112101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1022111210095 and 1022111210104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12723587 + ... + 12803666.

It is an arithmetic number, because the mean of its divisors is an integer number (24123255030).

Almost surely, 21022111210120 is an apocalyptic number.

1022111210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022111210120 is an abundant number, since it is smaller than the sum of its proper divisors (2065665433720).

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

1022111210120 is a wasteful number, since it uses less digits than its factorization.

1022111210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25527295 (or 25527291 counting only the distinct ones).

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

Adding to 1022111210120 its reverse (210121112201), we get a palindrome (1232232322321).

The spelling of 1022111210120 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 25527253 51054506 102109012 127636265 178690771 204218024 255272530 280799783 331854289 357381542 510545060 561599566 663708578 714763084 893453855 1021090120 1123199132 1327417156 1403998915 1429526168 1659271445 1786907710 1965598481 2246398264 2322980023 2654834312 2807997830 3318542890 3573815420 3650397179 3931196962 4645960046 5615995660 6637085780 7147630840 7300794358 7862393924 9291920092 9827992405 11231991320 11614900115 13274171560 14601588716 15724787848 18251985895 18583840184 19655984810 23229800230 25552780253 29203177432 36503971790 39311969620 46459600460 51105560506 73007943580 78623939240 92919200920 102211121012 127763901265 146015887160 204422242024 255527802530 511055605060 1022111210120