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2123033130100 = 22521272412572699
BaseRepresentation
bin11110111001001110101…
…000101011010001110100
321111221220211101102202101
4132321032220223101310
5234240432440130400
64303150303551444
7306245511566251
oct36711650532164
97457824342671
102123033130100
117494119444a3
122a355b5bb584
1312527cc6287c
1474a80984428
153a3593bd56a
hex1ee4ea2b474

2123033130100 has 144 divisors (see below), whose sum is σ = 4682400307200. Its totient is φ = 835456204800.

The previous prime is 2123033130019. The next prime is 2123033130109. The reversal of 2123033130100 is 10313303212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123033130109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786598551 + ... + 786601249.

It is an arithmetic number, because the mean of its divisors is an integer number (32516668800).

Almost surely, 22123033130100 is an apocalyptic number.

2123033130100 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 2123033130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341200153600).

2123033130100 is an abundant number, since it is smaller than the sum of its proper divisors (2559367177100).

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

2123033130100 is a wasteful number, since it uses less digits than its factorization.

2123033130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2123033130100 its reverse (10313303212), we get a palindrome (2133346433312).

The spelling of 2123033130100 in words is "two trillion, one hundred twenty-three billion, thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 241 254 257 482 508 514 635 964 1028 1205 1270 1285 2410 2540 2570 2699 3175 4820 5140 5398 6025 6350 6425 10796 12050 12700 12850 13495 24100 25700 26990 30607 32639 53980 61214 61937 65278 67475 122428 123874 130556 134950 153035 163195 247748 269900 306070 309685 326390 342773 612140 619370 650459 652780 685546 693643 765175 815975 1238740 1300918 1371092 1387286 1530350 1548425 1631950 1713865 2601836 2774572 3060700 3096850 3252295 3263900 3427730 3468215 6193700 6504590 6855460 6936430 7865999 8569325 13009180 13872860 15731998 16261475 17138650 17341075 31463996 32522950 34277300 34682150 39329995 65045900 69364300 78659990 82608293 88092661 157319980 165216586 167167963 176185322 196649975 330433172 334335926 352370644 393299950 413041465 440463305 668671852 786599900 826082930 835839815 880926610 1652165860 1671679630 1761853220 2065207325 2202316525 3343359260 4130414650 4179199075 4404633050 8260829300 8358398150 8809266100 16716796300 21230331301 42460662602 84921325204 106151656505 212303313010 424606626020 530758282525 1061516565050 2123033130100