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1000022211120 = 243513127317419
BaseRepresentation
bin11101000110101011111…
…01111111101000110000
310112121020021012212102010
432203111331333220300
5112341021141223440
62043223122322520
7132151324354332
oct16432575775060
93477207185363
101000022211120
1135611a516499
121419894b9440
13733bca7450a
1436589389452
151b02d6a2580
hexe8d5f7fa30

1000022211120 has 80 divisors (see below), whose sum is σ = 3100314781440. Its totient is φ = 266651434752.

The previous prime is 1000022211119. The next prime is 1000022211131. The reversal of 1000022211120 is 211122200001.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000022211096 and 1000022211105.

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, 2991771 + ... + 3309189.

It is an arithmetic number, because the mean of its divisors is an integer number (38753934768).

Almost surely, 21000022211120 is an apocalyptic number.

1000022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000022211120 is an abundant number, since it is smaller than the sum of its proper divisors (2100292570320).

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

1000022211120 is a wasteful number, since it uses less digits than its factorization.

1000022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330562 (or 330556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000022211120 its reverse (211122200001), we get a palindrome (1211144411121).

The spelling of 1000022211120 in words is "one trillion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13127 26254 39381 52508 65635 78762 105016 131270 157524 196905 210032 262540 315048 317419 393810 525080 630096 634838 787620 952257 1050160 1269676 1575240 1587095 1904514 2539352 3150480 3174190 3809028 4761285 5078704 6348380 7618056 9522570 12696760 15236112 19045140 25393520 38090280 76180560 4166759213 8333518426 12500277639 16667036852 20833796065 25000555278 33334073704 41667592130 50001110556 62501388195 66668147408 83335184260 100002221112 125002776390 166670368520 200004442224 250005552780 333340737040 500011105560 1000022211120