Search a number
-
+
12001302030030 = 2354361791930553
BaseRepresentation
bin1010111010100100010101…
…0110000010011011001110
31120111022110101002002012220
42232221011112002123032
53033112131304430110
641305153321040210
72346031311046305
oct256510526023316
946438411062186
1012001302030030
1139077a6139285
121419b23926066
13690944388861
142d6c1a8ab43c
1515c2ac3b2370
hexaea455826ce

12001302030030 has 128 divisors (see below), whose sum is σ = 30335335557120. Its totient is φ = 3035754408960.

The previous prime is 12001302030023. The next prime is 12001302030037. The reversal of 12001302030030 is 3003020310021.

It is an interprime number because it is at equal distance from previous prime (12001302030023) and next prime (12001302030037).

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

It is a junction number, because it is equal to n+sod(n) for n = 12001302029991 and 12001302030009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001302030037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5251234 + ... + 7181786.

It is an arithmetic number, because the mean of its divisors is an integer number (236994809040).

Almost surely, 212001302030030 is an apocalyptic number.

12001302030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001302030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167667778560).

12001302030030 is an abundant number, since it is smaller than the sum of its proper divisors (18334033527090).

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

12001302030030 is a wasteful number, since it uses less digits than its factorization.

12001302030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930746.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12001302030030 its reverse (3003020310021), we get a palindrome (15004322340051).

The spelling of 12001302030030 in words is "twelve trillion, one billion, three hundred two million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 61 79 86 122 129 158 183 215 237 258 305 366 395 430 474 610 645 790 915 1185 1290 1830 2370 2623 3397 4819 5246 6794 7869 9638 10191 13115 14457 15738 16985 20382 24095 26230 28914 33970 39345 48190 50955 72285 78690 101910 144570 207217 414434 621651 1036085 1243302 1930553 2072170 3108255 3861106 5791659 6216510 9652765 11583318 19305530 28958295 57916590 83013779 117763733 152513687 166027558 235527466 249041337 305027374 353291199 415068895 457541061 498082674 588818665 706582398 762568435 830137790 915082122 1177637330 1245206685 1525136870 1766455995 2287705305 2490413370 3532911990 4575410610 5063840519 6558088541 9303334907 10127681038 13116177082 15191521557 18606669814 19674265623 25319202595 27910004721 30383043114 32790442705 39348531246 46516674535 50638405190 55820009442 65580885410 75957607785 93033349070 98371328115 139550023605 151915215570 196742656230 279100047210 400043401001 800086802002 1200130203003 2000217005005 2400260406006 4000434010010 6000651015015 12001302030030