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10000021211120 = 2451078821132437
BaseRepresentation
bin1001000110000100111110…
…1101100100011111110000
31022101222210200010220000102
42101201033231210133300
52302320020412223440
633133540223411532
72051322563546303
oct221411755443760
938358720126012
1010000021211120
113205a92301276
1211560a2a53ba8
13576cc8673c95
14268009c90b3a
151251cbc32b15
hex9184fb647f0

10000021211120 has 80 divisors (see below), whose sum is σ = 23470177107168. Its totient is φ = 3962146083840.

The previous prime is 10000021211053. The next prime is 10000021211123. The reversal of 10000021211120 is 2111212000001.

10000021211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×100000212111202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000021211123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75441542 + ... + 75573978.

Almost surely, 210000021211120 is an apocalyptic number.

10000021211120 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 10000021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735088553584).

10000021211120 is an abundant number, since it is smaller than the sum of its proper divisors (13470155896048).

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

10000021211120 is a wasteful number, since it uses less digits than its factorization.

10000021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141378 (or 141372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000021211120 its reverse (2111212000001), we get a palindrome (12111233211121).

It can be divided in two parts, 1000002 and 1211120, that added together give a palindrome (2211122).

The spelling of 10000021211120 in words is "ten trillion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 8821 17642 35284 44105 70568 88210 132437 141136 176420 264874 352840 529748 662185 705680 943847 1059496 1324370 1887694 2118992 2648740 3775388 4719235 5297480 7550776 9438470 10594960 14170759 15101552 18876940 28341518 37753880 56683036 70853795 75507760 113366072 141707590 226732144 283415180 566830360 1133660720 1168226777 2336453554 4672907108 5841133885 9345814216 11682267770 18691628432 23364535540 46729071080 93458142160 125000265139 250000530278 500001060556 625001325695 1000002121112 1250002651390 2000004242224 2500005302780 5000010605560 10000021211120