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10012214240 = 255727132987
BaseRepresentation
bin10010101001100011…
…00100001111100000
3221211202202011220122
421110301210033200
5131001111323430
64333300255412
7503053262660
oct112461441740
927752664818
1010012214240
1142786a7826
121b350a1568
13c373a5b32
146ada221a0
153d8ec1ee5
hex254c643e0

10012214240 has 96 divisors (see below), whose sum is σ = 27133553664. Its totient is φ = 3419988480.

The previous prime is 10012214237. The next prime is 10012214279. The reversal of 10012214240 is 4241221001.

It is a congruent number.

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, 287027 + ... + 320013.

It is an arithmetic number, because the mean of its divisors is an integer number (282641184).

Almost surely, 210012214240 is an apocalyptic number.

10012214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566776832).

10012214240 is an abundant number, since it is smaller than the sum of its proper divisors (17121339424).

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

10012214240 is a wasteful number, since it uses less digits than its factorization.

10012214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33280 (or 33272 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10012214240 its reverse (4241221001), we get a palindrome (14253435241).

The spelling of 10012214240 in words is "ten billion, twelve million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 15176 18970 21680 30352 32987 37940 43360 60704 65974 75880 131948 151760 164935 230909 263896 303520 329870 461818 527792 659740 923636 1055584 1154545 1319480 1847272 2309090 2638960 3694544 4618180 5277920 7389088 8939477 9236360 17878954 18472720 35757908 36945440 44697385 62576339 71515816 89394770 125152678 143031632 178789540 250305356 286063264 312881695 357579080 500610712 625763390 715158160 1001221424 1251526780 1430316320 2002442848 2503053560 5006107120 10012214240