Search a number
-
+
20210011201002 = 23723371015598431
BaseRepresentation
bin1001001100001100000101…
…00010011101110111101010
32122120001120102120220011110
410212012002202131313222
510122110100331413002
6110552203451011150
74154060626541550
oct446060242356752
978501512526143
1020210011201002
1164920214a3777
122324a03a39ab6
13b37a4671278c
144dc253b79bd0
15250a9717be6c
hex12618289ddea

20210011201002 has 128 divisors (see below), whose sum is σ = 49995699683328. Its totient is φ = 5320747872000.

The previous prime is 20210011201001. The next prime is 20210011201073. The reversal of 20210011201002 is 20010211001202.

It is not an unprimeable number, because it can be changed into a prime (20210011201001) 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, 810727 + ... + 6409157.

It is an arithmetic number, because the mean of its divisors is an integer number (390591403776).

Almost surely, 220210011201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210011201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24997849841664).

20210011201002 is an abundant number, since it is smaller than the sum of its proper divisors (29785688482326).

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

20210011201002 is a wasteful number, since it uses less digits than its factorization.

20210011201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598604.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20210011201002 its reverse (20010211001202), we get a palindrome (40220222202204).

The spelling of 20210011201002 in words is "twenty trillion, two hundred ten billion, eleven million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 101 111 138 161 202 222 259 303 322 483 518 606 707 777 851 966 1414 1554 1702 2121 2323 2553 3737 4242 4646 5106 5957 6969 7474 11211 11914 13938 16261 17871 22422 26159 32522 35742 48783 52318 78477 85951 97566 156954 171902 257853 515706 601657 1203314 1804971 3609942 5598431 11196862 16795293 33590586 39189017 78378034 117567051 128763913 207141947 235134102 257527826 386291739 414283894 565441531 621425841 772583478 901347391 1130883062 1242851682 1449993629 1696324593 1802694782 2704042173 2899987258 3392649186 3958090717 4349980887 4764264781 5408084346 7916181434 8699961774 9528529562 11874272151 13005155213 14292794343 20921336647 23748544302 26010310426 28585588686 33349853467 39015465639 41842673294 62764009941 66699706934 78030931278 91036086491 100049560401 125528019882 146449356529 182072172982 200099120802 273108259473 292898713058 439348069587 481190742881 546216518946 878696139174 962381485762 1443572228643 2887144457286 3368335200167 6736670400334 10105005600501 20210011201002