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1012111213302 = 2327101619128483
BaseRepresentation
bin11101011101001101000…
…01111000001011110110
310120202102202210210210200
432232212201320023312
5113040300432311202
62052542451501330
7133060026236550
oct16564641701366
93522382723720
101012111213302
11360263437792
121441a1bb7846
137459849ba47
1436db4b344d0
151b4d9b53e1c
hexeba68782f6

1012111213302 has 96 divisors (see below), whose sum is σ = 2535102385920. Its totient is φ = 285846753600.

The previous prime is 1012111213297. The next prime is 1012111213307. The reversal of 1012111213302 is 2033121112101.

1012111213302 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 121 + 330 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1012111213297) and next prime (1012111213307).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012111213307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7813153 + ... + 7941635.

It is an arithmetic number, because the mean of its divisors is an integer number (26407316520).

Almost surely, 21012111213302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012111213302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267551192960).

1012111213302 is an abundant number, since it is smaller than the sum of its proper divisors (1522991172618).

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

1012111213302 is a wasteful number, since it uses less digits than its factorization.

1012111213302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129218 (or 129215 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012111213302 its reverse (2033121112101), we get a palindrome (3045232325403).

The spelling of 1012111213302 in words is "one trillion, twelve billion, one hundred eleven million, two hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 619 707 909 1238 1414 1818 1857 2121 3714 4242 4333 5571 6363 8666 11142 12726 12999 25998 38997 62519 77994 125038 128483 187557 256966 375114 385449 437633 562671 770898 875266 899381 1125342 1156347 1312899 1798762 2312694 2625798 2698143 3938697 5396286 7877394 8094429 12976783 16188858 25953566 38930349 77860698 79530977 90837481 116791047 159061954 181674962 233582094 238592931 272512443 477185862 545024886 556716839 715778793 817537329 1113433678 1431557586 1635074658 1670150517 3340301034 5010451551 8032628677 10020903102 16065257354 24097886031 48195772062 56228400739 72293658093 112456801478 144587316186 168685202217 337370404434 506055606651 1012111213302