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1321201002100 = 2252743154328447
BaseRepresentation
bin10011001110011101101…
…101110110011001110100
311200022020202202221122011
4103032131231312121310
5133121304424031400
62450541254414004
7164311410136210
oct23163555663164
94608222687564
101321201002100
1146a355581931
12194083661304
13977865576b5
1447d37181940
152457a3288ba
hex1339db76674

1321201002100 has 144 divisors (see below), whose sum is σ = 3355068817408. Its totient is φ = 442146418560.

The previous prime is 1321201002091. The next prime is 1321201002139. The reversal of 1321201002100 is 12001021231.

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, 46430077 + ... + 46458523.

Almost surely, 21321201002100 is an apocalyptic number.

1321201002100 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 1321201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677534408704).

1321201002100 is an abundant number, since it is smaller than the sum of its proper divisors (2033867815308).

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

1321201002100 is a wasteful number, since it uses less digits than its factorization.

1321201002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30054 (or 30047 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1321201002100 its reverse (12001021231), we get a palindrome (1333202023331).

The spelling of 1321201002100 in words is "one trillion, three hundred twenty-one billion, two hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 1543 2150 3010 3086 4300 6020 6172 7525 7715 10801 15050 15430 21602 28447 30100 30860 38575 43204 54005 56894 66349 77150 108010 113788 132698 142235 154300 199129 216020 265396 270025 284470 331745 398258 464443 540050 568940 663490 711175 796516 928886 995645 1080100 1223221 1326980 1422350 1658725 1857772 1991290 2322215 2446442 2844700 3317450 3982580 4644430 4892884 4978225 6116105 6634900 8562547 9288860 9956450 11611075 12232210 17125094 19912900 23222150 24464420 30580525 34250188 42812735 43893721 46444300 61161050 85625470 87787442 122322100 171250940 175574884 214063675 219468605 307256047 428127350 438937210 614512094 856254700 877874420 1097343025 1229024188 1536280235 1887430003 2194686050 3072560470 3774860006 4389372100 6145120940 7549720012 7681401175 9437150015 13212010021 15362802350 18874300030 26424020042 30725604700 37748600060 47185750075 52848040084 66060050105 94371500150 132120100210 188743000300 264240200420 330300250525 660600501050 1321201002100