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21123104321124 = 223213793971439111
BaseRepresentation
bin1001100110110000110110…
…01000010010111001100100
32202210100102110101101122200
410303120123020102321210
510232040104201233444
6112531453053254500
74310044134156141
oct463303310227144
982710373341580
1021123104321124
1168042927904a3
122451970a94430
13ba2b91945730
1453051400b3c8
152696d8da1969
hex13361b212e64

21123104321124 has 144 divisors (see below), whose sum is σ = 58376369425920. Its totient is φ = 6400977073920.

The previous prime is 21123104321107. The next prime is 21123104321131. The reversal of 21123104321124 is 42112340132112.

21123104321124 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 310 + 4 + 321 + 1 + 24 = 666.

It is a super-2 number, since 2×211231043211242 (a number of 27 digits) contains 22 as substring.

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, 13958329 + ... + 15397439.

Almost surely, 221123104321124 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 21123104321124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29188184712960).

21123104321124 is an abundant number, since it is smaller than the sum of its proper divisors (37253265104796).

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

21123104321124 is a wasteful number, since it uses less digits than its factorization.

21123104321124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439610 (or 1439605 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21123104321124 its reverse (42112340132112), we get a palindrome (63235444453236).

The spelling of 21123104321124 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred four million, three hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 397 468 474 711 794 948 1027 1191 1422 1588 2054 2382 2844 3081 3573 4108 4764 5161 6162 7146 9243 10322 12324 14292 15483 18486 20644 30966 31363 36972 46449 61932 62726 92898 94089 125452 185796 188178 282267 376356 407719 564534 815438 1129068 1223157 1439111 1630876 2446314 2878222 3669471 4317333 4892628 5756444 7338942 8634666 12951999 14677884 17269332 18708443 25903998 37416886 51807996 56125329 74833772 112250658 113689769 168375987 224501316 227379538 336751974 341069307 454759076 571327067 673503948 682138614 1023207921 1142654134 1364277228 1477966997 1713981201 2046415842 2285308268 2955933994 3427962402 4092831684 4433900991 5141943603 5911867988 6855924804 7427251871 8867801982 10283887206 13301702973 14854503742 17735603964 20567774412 22281755613 26603405946 29709007484 44563511226 45134838293 53206811892 66845266839 89127022452 90269676586 133690533678 135404514879 180539353172 267381067356 270809029758 406213544637 541618059516 586752897809 812427089274 1173505795618 1624854178548 1760258693427 2347011591236 3520517386854 5280776080281 7041034773708 10561552160562 21123104321124