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1022013133302 = 2371710914818867
BaseRepresentation
bin11101101111101001011…
…10101101000111110110
310121200222212000110110110
432313310232231013312
5113221040330231202
62101301212203450
7133560303204150
oct16676456550766
93550885013413
101022013133302
11364484851847
121460a6169586
13754b5a685c5
1437673c45ad0
151b8b90db26c
hexedf4bad1f6

1022013133302 has 128 divisors (see below), whose sum is σ = 2498102830080. Its totient is φ = 272091156480.

The previous prime is 1022013133289. The next prime is 1022013133303. The reversal of 1022013133302 is 2033313102201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022013133303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115255873 + ... + 115264739.

It is an arithmetic number, because the mean of its divisors is an integer number (19516428360).

Almost surely, 21022013133302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022013133302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249051415040).

1022013133302 is an abundant number, since it is smaller than the sum of its proper divisors (1476089696778).

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

1022013133302 is a wasteful number, since it uses less digits than its factorization.

1022013133302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1022013133302 its reverse (2033313102201), we get a palindrome (3055326235503).

The spelling of 1022013133302 in words is "one trillion, twenty-two billion, thirteen million, one hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 109 119 218 238 327 357 654 714 763 1481 1526 1853 2289 2962 3706 4443 4578 5559 8867 8886 10367 11118 12971 17734 20734 25177 25942 26601 31101 38913 50354 53202 62069 62202 75531 77826 124138 150739 151062 161429 176239 186207 301478 322858 352478 372414 452217 484287 528717 904434 966503 968574 1055173 1057434 1130003 1933006 2110346 2260006 2744293 2899509 3165519 3390009 5488586 5799018 6331038 6765521 6780018 8232879 13132027 13531042 16430551 16465758 19210051 20296563 26264054 32861102 38420102 39396081 40593126 49291653 57630153 78792162 91924189 98583306 115013857 115260306 183848378 223244459 230027714 275772567 345041571 446488918 551545134 669733377 690083142 1339466754 1431390943 1562711213 2862781886 3125422426 4294172829 4688133639 8588345658 9376267278 10019736601 20039473202 24333646031 30059209803 48667292062 60118419606 73000938093 146001876186 170335522217 340671044434 511006566651 1022013133302