Search a number
-
+
10221010211202 = 23747116318732377
BaseRepresentation
bin1001010010111100001110…
…1011101101000110000010
31100012010012202221020211020
42110233003223231012002
52314430112103224302
633423244532530310
72103305106215340
oct224570353550602
940163182836736
1010221010211202
11329078489192a
121190a97780996
13591ab622621b
142749b1740990
1512ad12b7eebc
hex94bc3aed182

10221010211202 has 128 divisors (see below), whose sum is σ = 23902695972864. Its totient is φ = 2852971849728.

The previous prime is 10221010211183. The next prime is 10221010211233. The reversal of 10221010211202 is 20211201012201.

It is a super-3 number, since 3×102210102112023 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4299961038 + ... + 4299963414.

It is an arithmetic number, because the mean of its divisors is an integer number (186739812288).

Almost surely, 210221010211202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221010211202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951347986432).

10221010211202 is an abundant number, since it is smaller than the sum of its proper divisors (13681685761662).

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

10221010211202 is a wasteful number, since it uses less digits than its factorization.

10221010211202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221010211202 its reverse (20211201012201), we get a palindrome (30432211223403).

The spelling of 10221010211202 in words is "ten trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1163 1873 1974 2326 2377 3489 3746 4754 5619 6978 7131 8141 11238 13111 14262 16282 16639 24423 26222 33278 39333 48846 49917 54661 78666 88031 99834 109322 111719 163983 176062 223438 264093 327966 335157 382627 528186 616217 670314 765254 782033 1147881 1232434 1564066 1848651 2178299 2295762 2346099 2764451 3697302 4356598 4452121 4692198 5528902 6534897 8293353 8904242 13069794 13356363 15248093 16586706 19351157 26712726 30496186 31164847 38702314 45744279 58053471 62329694 91488558 93494541 102380053 116106942 129929197 186989082 204760106 209249687 259858394 307140159 389787591 418499374 614280318 627749061 716660371 779575182 909504379 1255498122 1433320742 1464747809 1819008758 2149981113 2728513137 2929495618 4299962226 4394243427 5177816723 5457026274 8788486854 10355633446 15533450169 31066900338 36244717061 72489434122 108734151183 217468302366 243357385981 486714771962 730072157943 1460144315886 1703501701867 3407003403734 5110505105601 10221010211202