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1022021223132 = 2237137911847049
BaseRepresentation
bin11101101111101010011…
…01100100001011011100
310121201000102020110121210
432313311031210023130
5113221044413120012
62101302101424420
7133560432026520
oct16676515441334
93551012213553
101022021223132
11364489377858
121460a8a0b110
13754b763b8a0
1437674d4dd80
151b8b9b8823c
hexedf53642dc

1022021223132 has 96 divisors (see below), whose sum is σ = 2972187904000. Its totient is φ = 266132086272.

The previous prime is 1022021223131. The next prime is 1022021223133. The reversal of 1022021223132 is 2313221202201.

It is an interprime number because it is at equal distance from previous prime (1022021223131) and next prime (1022021223133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1022021223099 and 1022021223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022021223131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5837257 + ... + 6009792.

Almost surely, 21022021223132 is an apocalyptic number.

1022021223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022021223132 is an abundant number, since it is smaller than the sum of its proper divisors (1950166680868).

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

1022021223132 is a wasteful number, since it uses less digits than its factorization.

1022021223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847155 (or 11847153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1022021223132 its reverse (2313221202201), we get a palindrome (3335242425333).

The spelling of 1022021223132 in words is "one trillion, twenty-two billion, twenty-one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 474 546 553 948 1027 1092 1106 1659 2054 2212 3081 3318 4108 6162 6636 7189 12324 14378 21567 28756 43134 86268 11847049 23694098 35541147 47388196 71082294 82929343 142164588 154011637 165858686 248788029 308023274 331717372 462034911 497576058 616046548 924069822 935916871 995152116 1078081459 1848139644 1871833742 2156162918 2807750613 3234244377 3743667484 4312325836 5615501226 6468488754 6551418097 11231002452 12166919323 12936977508 13102836194 19654254291 24333838646 26205672388 36500757969 39308508582 48667677292 73001515938 78617017164 85168435261 146003031876 170336870522 255505305783 340673741044 511010611566 1022021223132