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231060820290900 = 223527511991951487
BaseRepresentation
bin110100100010011000001010…
…000111010110110101010100
31010022010012100211212010212020
4310202120022013112311110
5220241200024443302100
62135231513033053140
766445410345504315
oct6442301207266524
91108105324763766
10231060820290900
1167694386347016
1221ab91752571b0
139bc0c3235c672
14410b590bd860c
151baa64ed665a0
hexd2260a1d6d54

231060820290900 has 144 divisors (see below), whose sum is σ = 669472777666560. Its totient is φ = 61529888880000.

The previous prime is 231060820290851. The next prime is 231060820290917. The reversal of 231060820290900 is 9092028060132.

It is a super-3 number, since 3×2310608202909003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4487724957 + ... + 4487776443.

Almost surely, 2231060820290900 is an apocalyptic number.

231060820290900 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 231060820290900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334736388833280).

231060820290900 is an abundant number, since it is smaller than the sum of its proper divisors (438411957375660).

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

231060820290900 is a wasteful number, since it uses less digits than its factorization.

231060820290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72174 (or 72167 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 231060820290900 in words is "two hundred thirty-one trillion, sixty billion, eight hundred twenty million, two hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 751 1502 2253 3004 3755 4506 7510 9012 11265 15020 18775 19919 22530 37550 39838 45060 51487 56325 59757 75100 79676 99595 102974 112650 119514 154461 199190 205948 225300 239028 257435 298785 308922 398380 497975 514870 597570 617844 772305 995950 1029740 1195140 1287175 1493925 1544610 1991900 2574350 2987850 3089220 3861525 5148700 5975700 7723050 14959169 15446100 29918338 38666737 44877507 59836676 74795845 77333474 89755014 116000211 149591690 154666948 179510028 193333685 224387535 232000422 299183380 373979225 386667370 448775070 464000844 580001055 747958450 773334740 897550140 966668425 1025569553 1121937675 1160002110 1495916900 1933336850 2051139106 2243875350 2320004220 2900005275 3076708659 3866673700 4102278212 4487750700 5127847765 5800010550 6153417318 10255695530 11600021100 12306834636 15383543295 20511391060 25639238825 30767086590 51278477650 61534173180 76917716475 102556955300 153835432950 307670865900 770202734303 1540405468606 2310608202909 3080810937212 3851013671515 4621216405818 7702027343030 9242432811636 11553041014545 15404054686060 19255068357575 23106082029090 38510136715150 46212164058180 57765205072725 77020273430300 115530410145450 231060820290900