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1221230100 = 2235241432309
BaseRepresentation
bin100100011001010…
…0111111000010100
310011002221220202110
41020302213320110
510000113330400
6321103111020
742156166416
oct11062477024
93132856673
101221230100
11577397282
122a0ba2470
1316601877c
14b82989b6
1572330e50
hex48ca7e14

1221230100 has 144 divisors (see below), whose sum is σ = 3705387840. Its totient is φ = 310195200.

The previous prime is 1221230099. The next prime is 1221230113. The reversal of 1221230100 is 10321221.

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

It is a congruent number.

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, 527746 + ... + 530054.

It is an arithmetic number, because the mean of its divisors is an integer number (25731860).

Almost surely, 21221230100 is an apocalyptic number.

1221230100 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 1221230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852693920).

1221230100 is an abundant number, since it is smaller than the sum of its proper divisors (2484157740).

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

1221230100 is a wasteful number, since it uses less digits than its factorization.

1221230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1221230100 is about 34946.1027870062. The cubic root of 1221230100 is about 1068.8887347687. Note that the first 3 decimals are identical.

Adding to 1221230100 its reverse (10321221), we get a palindrome (1231551321).

The spelling of 1221230100 in words is "one billion, two hundred twenty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 43 50 60 75 82 86 100 123 129 150 164 172 205 215 246 258 300 410 430 492 516 615 645 820 860 1025 1075 1230 1290 1763 2050 2150 2309 2460 2580 3075 3225 3526 4100 4300 4618 5289 6150 6450 6927 7052 8815 9236 10578 11545 12300 12900 13854 17630 21156 23090 26445 27708 34635 35260 44075 46180 52890 57725 69270 88150 94669 99287 105780 115450 132225 138540 173175 176300 189338 198574 230900 264450 284007 297861 346350 378676 397148 473345 496435 528900 568014 595722 692700 946690 992870 1136028 1191444 1420035 1489305 1893380 1985740 2366725 2482175 2840070 2978610 4070767 4733450 4964350 5680140 5957220 7100175 7446525 8141534 9466900 9928700 12212301 14200350 14893050 16283068 20353835 24424602 28400700 29786100 40707670 48849204 61061505 81415340 101769175 122123010 203538350 244246020 305307525 407076700 610615050 1221230100