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20241033014202 = 237111320631633609
BaseRepresentation
bin1001001101000101110111…
…00101010010101110111010
32122200000122101121021201220
410212202323211102232322
510123112113422423302
6111014334024052510
74156236444601620
oct446427345225672
978600571537656
1020241033014202
1164a41a04aa120
12232aa21004136
13b3a94b6b1570
144dd957bad510
152517b08454bc
hex1268bb952bba

20241033014202 has 128 divisors (see below), whose sum is σ = 54379923333120. Its totient is φ = 4850639562240.

The previous prime is 20241033014177. The next prime is 20241033014231.

It is a happy number.

20241033014202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11573574 + ... + 13207182.

It is an arithmetic number, because the mean of its divisors is an integer number (424843151040).

Almost surely, 220241033014202 is an apocalyptic number.

20241033014202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241033014202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189961666560).

20241033014202 is an abundant number, since it is smaller than the sum of its proper divisors (34138890318918).

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

20241033014202 is a wasteful number, since it uses less digits than its factorization.

20241033014202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635708.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2024103 and 3014202, that added together give a palindrome (5038305).

The spelling of 20241033014202 in words is "twenty trillion, two hundred forty-one billion, thirty-three million, fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 2063 3003 4126 6006 6189 12378 14441 22693 26819 28882 43323 45386 53638 68079 80457 86646 136158 158851 160914 187733 295009 317702 375466 476553 563199 590018 885027 953106 1126398 1633609 1770054 2065063 3267218 4130126 4900827 6195189 9801654 11435263 12390378 17969699 21236917 22870526 34305789 35939398 42473834 53909097 63710751 68611578 107818194 125787893 127421502 148658419 233606087 251575786 297316838 377363679 445975257 467212174 700818261 754727358 891950514 1401636522 1635242609 3270485218 3370135367 4905727827 6740270734 9811455654 10110406101 20220812202 23590947569 37071489037 43811759771 47181895138 70772842707 74142978074 87623519542 111214467111 131435279313 141545685414 222428934222 259500423259 262870558626 306682318397 481929357481 519000846518 613364636794 778501269777 920046955191 963858714962 1445788072443 1557002539554 1840093910382 2891576144886 3373505502367 6747011004734 10120516507101 20241033014202