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12002002100102 = 271910313111932803
BaseRepresentation
bin1010111010100110111100…
…0100100101111110000110
31120111101021011101022211002
42232221233010211332012
53033120100014200402
641305351010013302
72346054541412030
oct256515704457606
946441234338732
1012002002100102
113908025326293
12141a09a277232
13690a26420ac1
142d6c85862c50
1515c2eda9a602
hexaea6f125f86

12002002100102 has 128 divisors (see below), whose sum is σ = 22061286973440. Its totient is φ = 4783124286720.

The previous prime is 12002002100063. The next prime is 12002002100149. The reversal of 12002002100102 is 20100120020021.

It is a happy number.

It is a congruent number.

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, 4281840233 + ... + 4281843035.

It is an arithmetic number, because the mean of its divisors is an integer number (172353804480).

Almost surely, 212002002100102 is an apocalyptic number.

12002002100102 is a deficient number, since it is larger than the sum of its proper divisors (10059284873338).

12002002100102 is a wasteful number, since it uses less digits than its factorization.

12002002100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002002100102 its reverse (20100120020021), we get a palindrome (32102122120123).

The spelling of 12002002100102 in words is "twelve trillion, two billion, two million, one hundred thousand, one hundred two".

Divisors: 1 2 7 14 19 38 103 131 133 206 262 266 721 917 1193 1442 1834 1957 2386 2489 2803 3914 4978 5606 8351 13493 13699 16702 17423 19621 22667 26986 27398 34846 39242 45334 53257 94451 106514 122879 156283 158669 188902 245758 256367 288709 312566 317338 367193 372799 512734 577418 734386 745598 860153 1093981 1720306 1794569 2020963 2187962 2334701 2570351 2969377 3343979 3589138 4041926 4669402 5140702 5485471 5938754 6687958 6976667 10970942 13953334 16097149 16342907 20785639 23407853 32194298 32685814 37820879 38398297 41571278 46815706 48836669 63535601 75641758 76796594 97673338 112680043 127071202 225360086 264746153 305845831 344429837 438061249 444749207 529492306 611691662 688859674 718596701 876122498 889498414 1437193402 2140920817 2411008859 3066428743 4281841634 4822017718 5030176907 6132857486 6544166903 8323163731 10060353814 13088333806 16646327462 45120308647 45809168321 58262146117 90240617294 91618336642 116524292234 315842160529 631684321058 857285864293 1714571728586 6001001050051 12002002100102