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33220121010132 = 22372438231596451
BaseRepresentation
bin1111000110110101010011…
…00000110001111111010100
311100121210221100110221101010
413203122221200301333110
513323234301434311012
6154353040215532220
76666034365353400
oct743325140617724
9140553840427333
1033220121010132
11a648635299721
12388634738a070
13156c84aa54874
1482bc1074a100
153c91e9162c3c
hex1e36a9831fd4

33220121010132 has 144 divisors (see below), whose sum is σ = 92378018084352. Its totient is φ = 9259461086400.

The previous prime is 33220121010119. The next prime is 33220121010247. The reversal of 33220121010132 is 23101012102233.

It is a super-2 number, since 2×332201210101322 (a number of 28 digits) contains 22 as substring.

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 = 33220121010099 and 33220121010108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20010507 + ... + 21606957.

Almost surely, 233220121010132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220121010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46189009042176).

33220121010132 is an abundant number, since it is smaller than the sum of its proper divisors (59157897074220).

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

33220121010132 is a wasteful number, since it uses less digits than its factorization.

33220121010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597338 (or 1597329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 33220121010132 its reverse (23101012102233), we get a palindrome (56321133112365).

The spelling of 33220121010132 in words is "thirty-three trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 823 903 1204 1646 1806 2107 2469 3292 3612 4214 4938 5761 6321 8428 9876 11522 12642 17283 23044 25284 34566 35389 40327 69132 70778 80654 106167 120981 141556 161308 212334 241962 247723 424668 483924 495446 743169 990892 1486338 1596451 1734061 2972676 3192902 3468122 4789353 5202183 6385804 6936244 9578706 10404366 11175157 19157412 20808732 22350314 33525471 44700628 67050942 68647393 78226099 134101884 137294786 156452198 205942179 234678297 274589572 312904396 411884358 469356594 480531751 823768716 938713188 961063502 1313879173 1441595253 1922127004 2627758346 2883190506 3363722257 3941637519 5255516692 5766381012 6727444514 7883275038 9197154211 10091166771 13454889028 15766550076 18394308422 20182333542 27591462633 36788616844 40364667084 55182925266 56496804439 64380079477 110365850532 112993608878 128760158954 169490413317 193140238431 225987217756 257520317908 338980826634 386280476862 395477631073 677961653268 772560953724 790955262146 1186432893219 1581910524292 2372865786438 2768343417511 4745731572876 5536686835022 8305030252533 11073373670044 16610060505066 33220121010132