Search a number
-
+
2101221020019 = 311192353251871
BaseRepresentation
bin11110100100111010100…
…010000101000101110011
321102212121201001102210110
4132210322202011011303
5233411300040120034
64245142042432403
7304544133656502
oct36447242050563
97385551042713
102101221020019
1174013953a340
1229b292802703
131231b5017a64
14739b1b52839
15399ce505de9
hex1e93a885173

2101221020019 has 96 divisors (see below), whose sum is σ = 3421659709440. Its totient is φ = 1132193462400.

The previous prime is 2101221020009. The next prime is 2101221020033. The reversal of 2101221020019 is 9100201221012.

It is not a de Polignac number, because 2101221020019 - 28 = 2101221019763 is a prime.

It is a super-2 number, since 2×21012210200192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101221019977 and 2101221020004.

It is not an unprimeable number, because it can be changed into a prime (2101221020009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40482654 + ... + 40534524.

It is an arithmetic number, because the mean of its divisors is an integer number (35642288640).

Almost surely, 22101221020019 is an apocalyptic number.

2101221020019 is a deficient number, since it is larger than the sum of its proper divisors (1320438689421).

2101221020019 is a wasteful number, since it uses less digits than its factorization.

2101221020019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52033 (or 51980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 2101221020019 in words is "two trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, nineteen".

Divisors: 1 3 11 19 23 33 53 57 69 159 209 253 437 583 627 759 1007 1219 1311 1749 2809 3021 3657 4807 8427 11077 13409 14421 23161 30899 33231 40227 51871 53371 64607 69483 92697 155613 160113 193821 254771 570581 587081 710677 764313 985549 1193033 1227533 1711743 1761243 2132031 2749163 2956647 3579099 3682599 8247489 10841039 13123363 13502863 22667627 30240793 32523117 39370089 40508589 52234097 63230749 68002881 90722379 145705639 156702291 189692247 249343897 437116917 574575067 695538239 748031691 1201384231 1602762029 1723725201 2086614717 2768407141 3351229697 3604152693 4808286087 8305221423 10053689091 13215226541 30452478551 36863526667 39645679623 63673364243 91357435653 110590580001 191020092729 700407006673 2101221020019