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10000111201002 = 23313191627346073
BaseRepresentation
bin1001000110000101010100…
…0100110110101011101010
31022102000000221110211221000
42101201111010312223222
52302320211431413002
633133553200255430
72051325035500416
oct221412504665352
938360027424830
1010000111201002
113206029085a7a
121156109011576
135770111c1430
14268017bd7d46
151251d4aab61c
hex91855136aea

10000111201002 has 128 divisors (see below), whose sum is σ = 25193558073600. Its totient is φ = 2914769774592.

The previous prime is 10000111200991. The next prime is 10000111201027. The reversal of 10000111201002 is 20010211100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 217026238 + ... + 217072310.

It is an arithmetic number, because the mean of its divisors is an integer number (196824672450).

Almost surely, 210000111201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000111201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596779036800).

10000111201002 is an abundant number, since it is smaller than the sum of its proper divisors (15193446872598).

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

10000111201002 is a wasteful number, since it uses less digits than its factorization.

10000111201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62389 (or 62383 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000111201002 its reverse (20010211100001), we get a palindrome (30010322301003).

The spelling of 10000111201002 in words is "ten trillion, one hundred eleven million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 16273 32546 46073 48819 92146 97638 138219 146457 211549 276438 292914 309187 414657 423098 439371 598949 618374 634647 829314 875387 878742 927561 1197898 1243971 1269294 1750774 1796847 1855122 1903941 2487942 2626161 2782683 3593694 3807882 4019431 5252322 5390541 5565366 5711823 7878483 8038862 8348049 10781082 11380031 11423646 12058293 15756966 16171623 16696098 22760062 23635449 24116586 32343246 34140093 36174879 47270898 68280186 72349758 102420279 108524637 204840558 217049274 307260837 614521674 749745929 1499491858 2249237787 4498475574 6747713361 9746697077 13495426722 14245172651 19493394154 20243140083 28490345302 29240091231 40486280166 42735517953 58480182462 85471035906 87720273693 128206553859 175440547386 185187244463 256413107718 263160821079 370374488926 384619661577 526321642158 555561733389 769239323154 1111123466778 1666685200167 3333370400334 5000055600501 10000111201002