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10220212300212 = 22321733235025487
BaseRepresentation
bin1001010010111001010000…
…0111111010100110110100
31100012001011011112011201100
42110232110013322212310
52314421443322101322
633423033430530100
72103246250122255
oct224562407724664
940161134464640
1010220212300212
113290405448562
1211908b4506930
135919b9b25145
1427493779ab2c
1512acb7abbdac
hex94b941fa9b4

10220212300212 has 72 divisors (see below), whose sum is σ = 27362334819456. Its totient is φ = 3205375582464.

The previous prime is 10220212300189. The next prime is 10220212300321. The reversal of 10220212300212 is 21200321202201.

10220212300212 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 1 + 230 + 0 + 212 = 666.

10220212300212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102202123002122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479068 + ... + 4546419.

It is an arithmetic number, because the mean of its divisors is an integer number (380032428048).

Almost surely, 210220212300212 is an apocalyptic number.

10220212300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220212300212 is an abundant number, since it is smaller than the sum of its proper divisors (17142122519244).

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

10220212300212 is a wasteful number, since it uses less digits than its factorization.

10220212300212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028837 (or 5028832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220212300212 its reverse (21200321202201), we get a palindrome (31420533502413).

It can be divided in two parts, 1022021 and 2300212, that added together give a palindrome (3322233).

The spelling of 10220212300212 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3323 6646 9969 13292 19938 29907 39876 56491 59814 112982 119628 169473 225964 338946 508419 677892 1016838 2033676 5025487 10050974 15076461 20101948 30152922 45229383 60305844 85433279 90458766 170866558 180917532 256299837 341733116 512599674 768899511 1025199348 1537799022 3075598044 16699693301 33399386602 50099079903 66798773204 100198159806 150297239709 200396319612 283894786117 300594479418 567789572234 601188958836 851684358351 1135579144468 1703368716702 2555053075053 3406737433404 5110106150106 10220212300212