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220103223132 = 223133122396143
BaseRepresentation
bin1100110011111100101…
…1001010011101011100
3210001010101001020021010
43030333023022131130
512101232411120012
6245040343535220
721621235345662
oct3147713123534
9701111036233
10220103223132
11853885932a1
12367a815a510
13179a91c8690
14a91dd96c32
155ad32cec3c
hex333f2ca75c

220103223132 has 144 divisors (see below), whose sum is σ = 573981327360. Its totient is φ = 65254573440.

The previous prime is 220103223113. The next prime is 220103223161. The reversal of 220103223132 is 231322301022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220103223099 and 220103223108.

It is a congruent number.

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, 35826853 + ... + 35832995.

It is an arithmetic number, because the mean of its divisors is an integer number (3985981440).

Almost surely, 2220103223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220103223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286990663680).

220103223132 is an abundant number, since it is smaller than the sum of its proper divisors (353878104228).

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

220103223132 is a wasteful number, since it uses less digits than its factorization.

220103223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220103223132 its reverse (231322301022), we get a palindrome (451425524154).

The spelling of 220103223132 in words is "two hundred twenty billion, one hundred three million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 239 372 403 478 717 806 956 961 1209 1434 1612 1922 2418 2868 2883 3107 3844 4836 5766 6143 6214 7409 9321 11532 12286 12428 12493 14818 18429 18642 22227 24572 24986 29636 36858 37284 37479 44454 49972 73716 74958 79859 88908 96317 149916 159718 190433 192634 229679 239577 288951 319436 380866 385268 459358 479154 571299 577902 689037 761732 918716 958308 1142598 1155804 1378074 1468177 2285196 2475629 2756148 2936354 2985827 4404531 4951258 5872708 5903423 5971654 7426887 8809062 8957481 9902516 11806846 11943308 14853774 17618124 17710269 17914962 19086301 23613692 29707548 35420538 35829924 38172602 45513487 57258903 70841076 76345204 76744499 91026974 114517806 136540461 153488998 182053948 229035612 230233497 273080922 306977996 460466994 546161844 591675331 920933988 1183350662 1410918097 1775025993 2366701324 2821836194 3550051986 4232754291 5643672388 7100103972 8465508582 16931017164 18341935261 36683870522 55025805783 73367741044 110051611566 220103223132