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2231201102100 = 2235231358366959
BaseRepresentation
bin100000011101111101111…
…100101111100100010100
321220022010020111202011120
4200131331330233210110
5243023444440231400
64424555531003540
7320125146306225
oct40357574574424
97808106452146
102231201102100
11790279944883
123005088995b0
1313252aa37629
1479dc271524c
153d08a732ca0
hex2077df2f914

2231201102100 has 144 divisors (see below), whose sum is σ = 6665813360640. Its totient is φ = 575624534400.

The previous prime is 2231201102099. The next prime is 2231201102111. The reversal of 2231201102100 is 12011021322.

It is a super-3 number, since 3×22312011021003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231201102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33288421 + ... + 33355379.

It is an arithmetic number, because the mean of its divisors is an integer number (46290370560).

Almost surely, 22231201102100 is an apocalyptic number.

2231201102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231201102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332906680320).

2231201102100 is an abundant number, since it is smaller than the sum of its proper divisors (4434612258540).

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

2231201102100 is a wasteful number, since it uses less digits than its factorization.

2231201102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70590 (or 70583 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2231201102100 its reverse (12011021322), we get a palindrome (2243212123422).

The spelling of 2231201102100 in words is "two trillion, two hundred thirty-one billion, two hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 3583 4650 7166 9300 10749 14332 17915 21498 35830 42996 53745 66959 71660 89575 107490 111073 133918 179150 200877 214980 222146 267836 268725 333219 334795 358300 401754 444292 537450 555365 666438 669590 803508 1004385 1074900 1110730 1332876 1339180 1666095 1673975 2008770 2075729 2221460 2776825 3332190 3347950 4017540 4151458 5021925 5553650 6227187 6664380 6695900 8302916 8330475 10043850 10378645 11107300 12454374 16660950 20087700 20757290 24908748 31135935 33321900 41514580 51893225 62271870 103786450 124543740 155679675 207572900 239914097 311359350 479828194 622718700 719742291 959656388 1199570485 1439484582 2399140970 2878969164 3598711455 4798281940 5997852425 7197422910 7437337007 11995704850 14394845820 14874674014 17993557275 22312011021 23991409700 29749348028 35987114550 37186685035 44624022042 71974229100 74373370070 89248044084 111560055105 148746740140 185933425175 223120110210 371866850350 446240220420 557800275525 743733700700 1115600551050 2231201102100