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223121131002 = 232711601267857
BaseRepresentation
bin1100111111001100001…
…1100100010111111010
3210022220200202211120200
43033303003210113322
512123423002143002
6250300032103030
722056102215130
oct3176303442772
9708820684520
10223121131002
1186697075130
12372aa994a76
131806a50cc93
14ab28b01750
155c0d20eb1c
hex33f30e45fa

223121131002 has 96 divisors (see below), whose sum is σ = 603721931904. Its totient is φ = 57856896000.

The previous prime is 223121130989. The next prime is 223121131039. The reversal of 223121131002 is 200131121322.

It is a super-3 number, since 3×2231211310023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 699058 + ... + 966914.

It is an arithmetic number, because the mean of its divisors is an integer number (6288770124).

Almost surely, 2223121131002 is an apocalyptic number.

223121131002 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 223121131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301860965952).

223121131002 is an abundant number, since it is smaller than the sum of its proper divisors (380600800902).

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

223121131002 is a wasteful number, since it uses less digits than its factorization.

223121131002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268484 (or 268481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223121131002 its reverse (200131121322), we get a palindrome (423252252324).

The spelling of 223121131002 in words is "two hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 601 693 1202 1386 1803 3606 4207 5409 6611 8414 10818 12621 13222 19833 25242 37863 39666 46277 59499 75726 92554 118998 138831 267857 277662 416493 535714 803571 832986 1607142 1874999 2410713 2946427 3749998 4821426 5624997 5892854 8839281 11249994 16874991 17678562 20624989 26517843 33749982 41249978 53035686 61874967 123749934 160982057 185624901 321964114 371249802 482946171 965892342 1126874399 1448838513 1770802627 2253748798 2897677026 3380623197 3541605254 5312407881 6761246394 10141869591 10624815762 12395618389 15937223643 20283739182 24791236778 31874447286 37186855167 74373710334 111560565501 223121131002