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202103004221144 = 23134359862788789
BaseRepresentation
bin101101111100111111000101…
…110001100100111011011000
3222111120212011212002111102222
4231330333011301210323120
5202442223423040034034
61553500501032243212
760366313564254365
oct5574770561447330
9874525155074388
10202103004221144
115943a448083024
121a800abb240508
1388a0301864620
1437c9ba251946c
151857269dd112e
hexb7cfc5c64ed8

202103004221144 has 128 divisors (see below), whose sum is σ = 424714818528000. Its totient is φ = 89553434955264.

The previous prime is 202103004221113. The next prime is 202103004221147. The reversal of 202103004221144 is 441122400301202.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103004221147) 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, 2276172302 + ... + 2276261090.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084519750).

Almost surely, 2202103004221144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202103004221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212357409264000).

202103004221144 is an abundant number, since it is smaller than the sum of its proper divisors (222611814306856).

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

202103004221144 is a wasteful number, since it uses less digits than its factorization.

202103004221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97537 (or 97533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 202103004221144 its reverse (441122400301202), we get a palindrome (643225404522346).

The spelling of 202103004221144 in words is "two hundred two trillion, one hundred three billion, four million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 59 86 104 118 172 236 344 472 559 767 1118 1534 2236 2537 3068 4472 5074 6136 8627 10148 17254 20296 32981 34508 65962 69016 88789 112151 131924 177578 224302 263848 355156 370961 448604 508993 710312 741922 897208 1017986 1154257 1483844 2035972 2308514 2967688 3817927 4071944 4617028 4822493 5238551 6616909 7635854 9234056 9644986 10477102 13233818 15271708 19289972 20954204 21886699 26467636 30543416 38579944 41908408 43773398 49633051 52935272 68101163 87546796 99266102 136202326 175093592 198532204 225257693 272404652 284527087 397064408 450515386 544809304 569054174 765982703 901030772 1138108348 1531965406 1802061544 2276216696 2928350009 3063930812 5856700018 6127861624 9957775139 11713400036 19915550278 23426800072 32937256229 39831100556 45192979477 65874512458 79662201112 90385958954 131749024916 180771917908 263498049832 361543835816 428184330977 587508733201 856368661954 1175017466402 1712737323908 1943298117511 2350034932804 3425474647816 3886596235022 4700069865608 7773192470044 15546384940088 25262875527643 50525751055286 101051502110572 202103004221144