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1000021212240 = 243514929395443
BaseRepresentation
bin11101000110101011110…
…10001011110001010000
310112121020012100010012120
432203111322023301100
5112341020412242430
62043223045054240
7132151313024211
oct16432572136120
93477205303176
101000021212240
113561199a3a76
121419890b7380
13733bc7b496b
14365891a9408
151b02d556610
hexe8d5e8bc50

1000021212240 has 160 divisors (see below), whose sum is σ = 3131555817600. Its totient is φ = 263975774208.

The previous prime is 1000021212199. The next prime is 1000021212241. The reversal of 1000021212240 is 422121200001.

1000021212240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021212241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10429959 + ... + 10525401.

It is an arithmetic number, because the mean of its divisors is an integer number (19572223860).

Almost surely, 21000021212240 is an apocalyptic number.

1000021212240 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 1000021212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565777908800).

1000021212240 is an abundant number, since it is smaller than the sum of its proper divisors (2131534605360).

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

1000021212240 is a wasteful number, since it uses less digits than its factorization.

1000021212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95901 (or 95895 counting only the distinct ones).

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

Adding to 1000021212240 its reverse (422121200001), we get a palindrome (1422142412241).

The spelling of 1000021212240 in words is "one trillion, twenty-one million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 293 298 447 586 596 745 879 894 1172 1192 1465 1490 1758 1788 2235 2344 2384 2930 2980 3516 3576 4395 4470 4688 5860 5960 7032 7152 8790 8940 11720 11920 14064 17580 17880 23440 35160 35760 43657 70320 87314 95443 130971 174628 190886 218285 261942 286329 349256 381772 436570 477215 523884 572658 654855 698512 763544 873140 954430 1047768 1145316 1309710 1431645 1527088 1746280 1908860 2095536 2290632 2619420 2863290 3492560 3817720 4581264 5238840 5726580 7635440 10477680 11453160 14221007 22906320 27964799 28442014 42663021 55929598 56884028 71105035 83894397 85326042 111859196 113768056 139823995 142210070 167788794 170652084 213315105 223718392 227536112 279647990 284420140 335577588 341304168 419471985 426630210 447436784 559295980 568840280 671155176 682608336 838943970 853260420 1118591960 1137680560 1342310352 1677887940 1706520840 2237183920 3355775880 3413041680 4166755051 6711551760 8333510102 12500265153 16667020204 20833775255 25000530306 33334040408 41667550510 50001060612 62501325765 66668080816 83335101020 100002121224 125002651530 166670202040 200004242448 250005303060 333340404080 500010606120 1000021212240