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1021434211152 = 243221146172923
BaseRepresentation
bin11101101110100100011…
…10010010101101010000
310121122111111200011120100
432313102032102231100
5113213344124224102
62101123532012400
7133540043353365
oct16672216225520
93548444604510
101021434211152
11364207a8aa93
12145b64301100
1375422b3c914
143761adc846c
151b883383a1c
hexedd2392b50

1021434211152 has 120 divisors (see below), whose sum is σ = 2878414707168. Its totient is φ = 338124729600.

The previous prime is 1021434211129. The next prime is 1021434211159. The reversal of 1021434211152 is 2511124341201.

1021434211152 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 434 + 211 + 15 + 2 = 666.

1021434211152 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021434211159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13970563 + ... + 14043485.

Almost surely, 21021434211152 is an apocalyptic number.

1021434211152 is a gapful number since it is divisible by the number (12) 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 1021434211152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439207353584).

1021434211152 is an abundant number, since it is smaller than the sum of its proper divisors (1856980496016).

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

1021434211152 is a wasteful number, since it uses less digits than its factorization.

1021434211152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73609 (or 73600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1021434211152 its reverse (2511124341201), we get a palindrome (3532558552353).

The spelling of 1021434211152 in words is "one trillion, twenty-one billion, four hundred thirty-four million, two hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 461 633 844 922 1266 1383 1688 1844 1899 2532 2766 3376 3688 3798 4149 5064 5532 7376 7596 8298 10128 11064 15192 16596 22128 30384 33192 66384 72923 97271 145846 194542 218769 291692 291813 389084 437538 583384 583626 656307 778168 875076 875439 1166768 1167252 1312614 1556336 1750152 1750878 2334504 2625228 3500304 3501756 4669008 5250456 7003512 10500912 14007024 15386753 30773506 33617503 46160259 61547012 67235006 92320518 100852509 123094024 134470012 138480777 184641036 201705018 246188048 268940024 276961554 302557527 369282072 403410036 537880048 553923108 605115054 738564144 806820072 1107846216 1210230108 1613640144 2215692432 2420460216 4840920432 7093293133 14186586266 21279879399 28373172532 42559758798 56746345064 63839638197 85119517596 113492690128 127679276394 170239035192 255358552788 340478070384 510717105576 1021434211152