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11020103013300 = 22352269373366103
BaseRepresentation
bin1010000001011101000101…
…0100110101001110110100
31110000111210221000120020120
42200113101110311032310
52421023132332411200
635234322044531540
72215114266032463
oct240272124651664
943014727016216
1011020103013300
113569665948397
12129b92a250bb0
1361c264258bb4
142a15393d49da
151419d14c29a0
hexa05d15353b4

11020103013300 has 144 divisors (see below), whose sum is σ = 32089249906560. Its totient is φ = 2919912399360.

The previous prime is 11020103013221. The next prime is 11020103013317. The reversal of 11020103013300 is 331030102011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11020103013300.

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, 29918049 + ... + 30284151.

It is an arithmetic number, because the mean of its divisors is an integer number (222842013240).

Almost surely, 211020103013300 is an apocalyptic number.

11020103013300 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 11020103013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044624953280).

11020103013300 is an abundant number, since it is smaller than the sum of its proper divisors (21069146893260).

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

11020103013300 is a wasteful number, since it uses less digits than its factorization.

11020103013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366762 (or 366755 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11020103013300 its reverse (331030102011), we get a palindrome (11351133115311).

The spelling of 11020103013300 in words is "eleven trillion, twenty billion, one hundred three million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 269 300 373 538 746 807 1076 1119 1345 1492 1614 1865 2238 2690 3228 3730 4035 4476 5380 5595 6725 7460 8070 9325 11190 13450 16140 18650 20175 22380 26900 27975 37300 40350 55950 80700 100337 111900 200674 301011 366103 401348 501685 602022 732206 1003370 1098309 1204044 1464412 1505055 1830515 2006740 2196618 2508425 3010110 3661030 4393236 5016850 5491545 6020220 7322060 7525275 9152575 10033700 10983090 15050550 18305150 21966180 27457725 30101100 36610300 54915450 98481707 109830900 136556419 196963414 273112838 295445121 393926828 409669257 492408535 546225676 590890242 682782095 819338514 984817070 1181780484 1365564190 1477225605 1638677028 1969634140 2048346285 2462042675 2731128380 2954451210 3413910475 4096692570 4924085350 5908902420 6827820950 7386128025 8193385140 9848170700 10241731425 13655641900 14772256050 20483462850 29544512100 36733676711 40966925700 73467353422 110201030133 146934706844 183668383555 220402060266 367336767110 440804120532 551005150665 734673534220 918341917775 1102010301330 1836683835550 2204020602660 2755025753325 3673367671100 5510051506650 11020103013300