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2210021120100 = 2235253605322963
BaseRepresentation
bin100000001010001111100…
…001100001100001100100
321211021110011122011220210
4200022033201201201210
5242202110401320400
64411134130255420
7315445245366453
oct40121741414144
97737404564823
102210021120100
117822a0341922
122b8397727570
13130533a56bc1
1478d73830b9a
153c74b0d2950
hex2028f861864

2210021120100 has 144 divisors (see below), whose sum is σ = 6516335552832. Its totient is φ = 578098659840.

The previous prime is 2210021120093. The next prime is 2210021120119. The reversal of 2210021120100 is 10211200122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 96231219 + ... + 96254181.

It is an arithmetic number, because the mean of its divisors is an integer number (45252330228).

Almost surely, 22210021120100 is an apocalyptic number.

2210021120100 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 2210021120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258167776416).

2210021120100 is an abundant number, since it is smaller than the sum of its proper divisors (4306314432732).

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

2210021120100 is a wasteful number, since it uses less digits than its factorization.

2210021120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29086 (or 29079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210021120100 its reverse (10211200122), we get a palindrome (2220232320222).

The spelling of 2210021120100 in words is "two trillion, two hundred ten billion, twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 6053 7950 12106 15900 18159 22963 24212 30265 36318 45926 60530 68889 72636 90795 91852 114815 121060 137778 151325 181590 229630 275556 302650 320809 344445 363180 453975 459260 574075 605300 641618 688890 907950 962427 1148150 1217039 1283236 1377780 1604045 1722225 1815900 1924854 2296300 2434078 3208090 3444450 3651117 3849708 4812135 4868156 6085195 6416180 6888900 7302234 8020225 9624270 12170390 14604468 16040450 18255585 19248540 24060675 24340780 30425975 32080900 36511170 48121350 60851950 73022340 91277925 96242700 121703900 138995039 182555850 277990078 365111700 416985117 555980156 694975195 833970234 1389950390 1667940468 2084925585 2779900780 3474875975 4169851170 6949751950 7366737067 8339702340 10424627925 13899503900 14733474134 20849255850 22100211201 29466948268 36833685335 41698511700 44200422402 73667370670 88400844804 110501056005 147334741340 184168426675 221002112010 368336853350 442004224020 552505280025 736673706700 1105010560050 2210021120100