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101233222003030 = 25134753523759693
BaseRepresentation
bin10111000001001000110010…
…001111001010100101010110
3111021102210122022002020212211
4113001020302033022211112
5101232101114313044110
6555145522234104034
730215600420205055
oct2701106217124526
9437383568066784
10101233222003030
112a28a84a748917
12b42b81527b01a
1344643374995c0
141add9dd65a39c
15ba8495dcb98a
hex5c12323ca956

101233222003030 has 128 divisors (see below), whose sum is σ = 204235725915648. Its totient is φ = 35885432174592.

The previous prime is 101233222003021. The next prime is 101233222003049. The reversal of 101233222003030 is 30300222332101.

It is a super-2 number, since 2×1012332220030302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233222002992 and 101233222003010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1695867864 + ... + 1695927556.

It is an arithmetic number, because the mean of its divisors is an integer number (1595591608716).

Almost surely, 2101233222003030 is an apocalyptic number.

101233222003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101233222003030 is an abundant number, since it is smaller than the sum of its proper divisors (103002503912618).

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

101233222003030 is a wasteful number, since it uses less digits than its factorization.

101233222003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65050.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 101233222003030 its reverse (30300222332101), we get a palindrome (131533444335131).

The spelling of 101233222003030 in words is "one hundred one trillion, two hundred thirty-three billion, two hundred twenty-two million, three thousand, thirty".

Divisors: 1 2 5 10 13 26 47 53 65 94 106 130 235 265 470 530 611 689 1222 1378 2491 3055 3445 4982 5237 6110 6890 10474 12455 24910 26185 32383 52370 59693 64766 68081 119386 136162 161915 246139 277561 298465 323830 340405 492278 555122 596930 680810 776009 1230695 1387805 1552018 2461390 2775610 2805571 3163729 3199807 3608293 3880045 5611142 6327458 6399614 7216586 7760090 13045367 14027855 15818645 15999035 18041465 26090734 28055710 31637290 31998070 36082930 36472423 41128477 65226835 72944846 82256954 130453670 148695263 169589771 182362115 205642385 297390526 312612241 339179542 364724230 411284770 625224482 743476315 847948855 1486952630 1563061205 1695897710 1933038419 3126122410 3866076838 4063959133 8127918266 9665192095 14692775327 16568448773 19330384190 20319795665 29385550654 33136897546 40639591330 73463876635 82842243865 146927753270 165684487730 191006079251 215389834049 382012158502 430779668098 778717092331 955030396255 1076949170245 1557434184662 1910060792510 2153898340490 3893585461655 7787170923310 10123322200303 20246644400606 50616611001515 101233222003030