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1222000002100 = 2252414327125577
BaseRepresentation
bin10001110010000100111…
…000000100010000110100
311022211012021121000100001
4101302010320010100310
5130010124000031400
62333213513001044
7154200204430603
oct21620470042064
94284167530301
101222000002100
1143127a164309
121789b93b3184
138b30743a927
14432062a9a3a
1521bc1319a6a
hex11c84e04434

1222000002100 has 144 divisors (see below), whose sum is σ = 2789954931456. Its totient is φ = 464050944000.

The previous prime is 1222000002073. The next prime is 1222000002109. The reversal of 1222000002100 is 12000002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222000002109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47764512 + ... + 47790088.

It is an arithmetic number, because the mean of its divisors is an integer number (19374687024).

Almost surely, 21222000002100 is an apocalyptic number.

1222000002100 is a gapful number since it is divisible by the number (10) 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 1222000002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394977465728).

1222000002100 is an abundant number, since it is smaller than the sum of its proper divisors (1567954929356).

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

1222000002100 is a wasteful number, since it uses less digits than its factorization.

1222000002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25946 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1222000002100 its reverse (12000002221), we get a palindrome (1234000004321).

The spelling of 1222000002100 in words is "one trillion, two hundred twenty-two billion, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 43 50 82 86 100 164 172 205 215 271 410 430 542 820 860 1025 1075 1084 1355 1763 2050 2150 2710 3526 4100 4300 5420 6775 7052 8815 11111 11653 13550 17630 22222 23306 25577 27100 35260 44075 44444 46612 51154 55555 58265 88150 102308 111110 116530 127885 176300 222220 233060 255770 277775 291325 477773 511540 555550 582650 639425 955546 1048657 1099811 1111100 1165300 1278850 1911092 2097314 2199622 2388865 2557700 4194628 4399244 4777730 5243285 5499055 6931367 9555460 10486570 10998110 11944325 13862734 20973140 21996220 23888650 26216425 27495275 27725468 34656835 45092251 47777300 52432850 54990550 69313670 90184502 104865700 109981100 138627340 173284175 180369004 225461255 284186047 298048781 346568350 450922510 568372094 596097562 693136700 901845020 1127306275 1136744188 1192195124 1420930235 1490243905 2254612550 2841860470 2980487810 4509225100 5683720940 5960975620 7104651175 7451219525 12220000021 14209302350 14902439050 24440000042 28418604700 29804878100 48880000084 61100000105 122200000210 244400000420 305500000525 611000001050 1222000002100