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2110001102000 = 245311611572281
BaseRepresentation
bin11110101101000101110…
…111011011110010110000
321110201021121022210222222
4132231011313123302300
5234032240240231000
64253153210220212
7305304536305241
oct36550567336260
97421247283888
102110001102000
11743934683940
122a0b23124668
13123c84058a3c
14741a5c7ccc8
1539d45241a85
hex1eb45ddbcb0

2110001102000 has 160 divisors (see below), whose sum is σ = 5657045479488. Its totient is φ = 754694400000.

The previous prime is 2110001101979. The next prime is 2110001102003. The reversal of 2110001102000 is 2011000112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2110001102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555860 + ... + 2128140.

Almost surely, 22110001102000 is an apocalyptic number.

2110001102000 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 2110001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828522739744).

2110001102000 is an abundant number, since it is smaller than the sum of its proper divisors (3547044377488).

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

2110001102000 is a wasteful number, since it uses less digits than its factorization.

2110001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572376 (or 1572360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2110001102000 its reverse (2011000112), we get a palindrome (2112012102112).

The spelling of 2110001102000 in words is "two trillion, one hundred ten billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 10736 11000 12200 13420 15250 16775 22000 24400 26840 30500 33550 53680 61000 67100 83875 122000 134200 167750 268400 335500 671000 1342000 1572281 3144562 6289124 7861405 12578248 15722810 17295091 25156496 31445620 34590182 39307025 62891240 69180364 78614050 86475455 95909141 125782480 138360728 157228100 172950910 191818282 196535125 276721456 314456200 345901820 383636564 393070250 432377275 479545705 628912400 691803640 767273128 786140500 864754550 959091410 1055000551 1383607280 1534546256 1572281000 1729509100 1918182820 2110001102 2161886375 2397728525 3144562000 3459018200 3836365640 4220002204 4323772750 4795457050 5275002755 6918036400 7672731280 8440004408 8647545500 9590914100 10550005510 11988642625 16880008816 17295091000 19181828200 21100011020 23977285250 26375013775 34590182000 38363656400 42200022040 47954570500 52750027550 84400044080 95909141000 105500055100 131875068875 191818282000 211000110200 263750137750 422000220400 527500275500 1055000551000 2110001102000