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1012031078652 = 22321121487156241
BaseRepresentation
bin11101011101000011100…
…00001100000011111100
310120202020012000112201200
432232201300030003330
5113040114424004102
62052530510135500
7133055034143046
oct16564160140374
93522205015650
101012031078652
11360222184400
1214417b1b1590
13745849c22a9
1436da8234a96
151b4d2ac551c
hexeba1c0c0fc

1012031078652 has 108 divisors (see below), whose sum is σ = 2813803425888. Its totient is φ = 306467884800.

The previous prime is 1012031078603. The next prime is 1012031078693. The reversal of 1012031078652 is 2568701302101.

It is a super-2 number, since 2×10120310786522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6399252 + ... + 6555492.

Almost surely, 21012031078652 is an apocalyptic number.

1012031078652 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 1012031078652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406901712944).

1012031078652 is an abundant number, since it is smaller than the sum of its proper divisors (1801772347236).

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

1012031078652 is a wasteful number, since it uses less digits than its factorization.

1012031078652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157760 (or 157744 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1012031078652 in words is "one trillion, twelve billion, thirty-one million, seventy-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1487 2178 2974 4356 4461 5948 8922 13383 16357 17844 26766 32714 49071 53532 65428 98142 147213 156241 179927 196284 294426 312482 359854 468723 539781 588852 624964 719708 937446 1079562 1406169 1619343 1718651 1874892 2159124 2812338 3238686 3437302 5155953 5624676 6477372 6874604 10311906 15467859 18905161 20623812 30935718 37810322 56715483 61871436 75620644 113430966 170146449 226861932 232330367 340292898 464660734 680585796 696991101 929321468 1393982202 2090973303 2555634037 2787964404 4181946606 5111268074 7666902111 8363893212 10222536148 15333804222 23000706333 28111974407 30667608444 46001412666 56223948814 84335923221 92002825332 112447897628 168671846442 253007769663 337343692884 506015539326 1012031078652