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101030405355 = 3551122733301
BaseRepresentation
bin101111000010111100…
…0011010010011101011
3100122202222112100200000
41132011320122103223
53123402240432410
6114225052114043
710204425163515
oct1360570322353
9318688470600
10101030405355
1139935036980
12176b6a65923
1396b1134259
144c65c44bb5
152964924dc0
hex1785e1a4eb

101030405355 has 96 divisors (see below), whose sum is σ = 198993570048. Its totient is φ = 48767184000.

The previous prime is 101030405341. The next prime is 101030405393. The reversal of 101030405355 is 553504030101.

101030405355 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 304 + 0 + 5 + 355 = 666.

It is not a de Polignac number, because 101030405355 - 27 = 101030405227 is a prime.

It is a super-2 number, since 2×1010304053552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3017205 + ... + 3050505.

It is an arithmetic number, because the mean of its divisors is an integer number (2072849688).

Almost surely, 2101030405355 is an apocalyptic number.

101030405355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101030405355 is a deficient number, since it is larger than the sum of its proper divisors (97963164693).

101030405355 is a wasteful number, since it uses less digits than its factorization.

101030405355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33559 (or 33547 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 101030405355 its reverse (553504030101), we get a palindrome (654534435456).

The spelling of 101030405355 in words is "one hundred one billion, thirty million, four hundred five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 227 243 297 405 495 681 891 1135 1215 1485 2043 2497 2673 3405 4455 6129 7491 10215 12485 13365 18387 22473 30645 33301 37455 55161 67419 91935 99903 112365 166505 202257 275805 299709 337095 366311 499515 606771 899127 1011285 1098933 1498545 1831555 2697381 3033855 3296799 4495635 5494665 7559327 8092143 9890397 13486905 16483995 22677981 29671191 37796635 40460715 49451985 68033943 83152597 89013573 113389905 148355955 204101829 249457791 340169715 415762985 445067865 612305487 748373373 1020509145 1247288955 1836916461 2245120119 3061527435 3741866865 6735360357 9184582305 11225600595 20206081071 33676801785 101030405355